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Finding the Fourth Proportional to 102,399, 141,310.62 and 57,687

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Solution

The fourth proportional to 102,399, 141,310.62 and 57,687 is: 79,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,399 : 141,310.62 = 57,687 : x
  2. Step 2: Convert to fraction form
    102,399/141,310.62 = 57,687/x
  3. Step 3: Cross multiply
    102,399x = 141,310.62 × 57,687
  4. Step 4: Simplify right side
    102,399x = 8,151,785,735.94
  5. Step 5: Solve for x
    x = 8,151,785,735.94/102,399
  6. Step 6: Final answer
    x = 79,608.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.