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Finding the Fourth Proportional to 85,406.20, 128,109.30 and 54,302.20

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Solution

The fourth proportional to 85,406.20, 128,109.30 and 54,302.20 is: 81,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,406.20 : 128,109.30 = 54,302.20 : x
  2. Step 2: Convert to fraction form
    85,406.20/128,109.30 = 54,302.20/x
  3. Step 3: Cross multiply
    85,406.20x = 128,109.30 × 54,302.20
  4. Step 4: Simplify right side
    85,406.20x = 6,956,616,830.46
  5. Step 5: Solve for x
    x = 6,956,616,830.46/85,406.20
  6. Step 6: Final answer
    x = 81,453.30

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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.