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Finding the Fourth Proportional to 85,354.38, 128,057.19 and 40,410

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Solution

The fourth proportional to 85,354.38, 128,057.19 and 40,410 is: 60,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,354.38 : 128,057.19 = 40,410 : x
  2. Step 2: Convert to fraction form
    85,354.38/128,057.19 = 40,410/x
  3. Step 3: Cross multiply
    85,354.38x = 128,057.19 × 40,410
  4. Step 4: Simplify right side
    85,354.38x = 5,174,791,047.90
  5. Step 5: Solve for x
    x = 5,174,791,047.90/85,354.38
  6. Step 6: Final answer
    x = 60,627.13

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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.