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Finding the Fourth Proportional to 85,409.70, 128,114.55 and 32,820.45

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Solution

The fourth proportional to 85,409.70, 128,114.55 and 32,820.45 is: 49,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,409.70 : 128,114.55 = 32,820.45 : x
  2. Step 2: Convert to fraction form
    85,409.70/128,114.55 = 32,820.45/x
  3. Step 3: Cross multiply
    85,409.70x = 128,114.55 × 32,820.45
  4. Step 4: Simplify right side
    85,409.70x = 4,204,777,182.55
  5. Step 5: Solve for x
    x = 4,204,777,182.55/85,409.70
  6. Step 6: Final answer
    x = 49,230.68

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.