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Finding the Fourth Proportional to 102,381.32, 153,478.43 and 86,687.47

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Solution

The fourth proportional to 102,381.32, 153,478.43 and 86,687.47 is: 129,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,381.32 : 153,478.43 = 86,687.47 : x
  2. Step 2: Convert to fraction form
    102,381.32/153,478.43 = 86,687.47/x
  3. Step 3: Cross multiply
    102,381.32x = 153,478.43 × 86,687.47
  4. Step 4: Simplify right side
    102,381.32x = 13,304,656,879.76
  5. Step 5: Solve for x
    x = 13,304,656,879.76/102,381.32
  6. Step 6: Final answer
    x = 129,951.99

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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.