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Finding the Fourth Proportional to 85,714.14, 128,591.74 and 35,766.46

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Solution

The fourth proportional to 85,714.14, 128,591.74 and 35,766.46 is: 53,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,714.14 : 128,591.74 = 35,766.46 : x
  2. Step 2: Convert to fraction form
    85,714.14/128,591.74 = 35,766.46/x
  3. Step 3: Cross multiply
    85,714.14x = 128,591.74 × 35,766.46
  4. Step 4: Simplify right side
    85,714.14x = 4,599,270,682.08
  5. Step 5: Solve for x
    x = 4,599,270,682.08/85,714.14
  6. Step 6: Final answer
    x = 53,658.25

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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.