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Finding the Fourth Proportional to 157,042.38, 216,724.23 and 87,193.65

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Solution

The fourth proportional to 157,042.38, 216,724.23 and 87,193.65 is: 120,330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,042.38 : 216,724.23 = 87,193.65 : x
  2. Step 2: Convert to fraction form
    157,042.38/216,724.23 = 87,193.65/x
  3. Step 3: Cross multiply
    157,042.38x = 216,724.23 × 87,193.65
  4. Step 4: Simplify right side
    157,042.38x = 18,896,976,657.14
  5. Step 5: Solve for x
    x = 18,896,976,657.14/157,042.38
  6. Step 6: Final answer
    x = 120,330.43

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1.5x scale

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.