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Finding the Fourth Proportional to 102,187.92, 140,929.60 and 71,545.31

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Solution

The fourth proportional to 102,187.92, 140,929.60 and 71,545.31 is: 98,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,187.92 : 140,929.60 = 71,545.31 : x
  2. Step 2: Convert to fraction form
    102,187.92/140,929.60 = 71,545.31/x
  3. Step 3: Cross multiply
    102,187.92x = 140,929.60 × 71,545.31
  4. Step 4: Simplify right side
    102,187.92x = 10,082,852,092.62
  5. Step 5: Solve for x
    x = 10,082,852,092.62/102,187.92
  6. Step 6: Final answer
    x = 98,669.71

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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.