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Finding the Fourth Proportional to 102,039.80, 153,061.22 and 38,863.41

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Solution

The fourth proportional to 102,039.80, 153,061.22 and 38,863.41 is: 58,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,039.80 : 153,061.22 = 38,863.41 : x
  2. Step 2: Convert to fraction form
    102,039.80/153,061.22 = 38,863.41/x
  3. Step 3: Cross multiply
    102,039.80x = 153,061.22 × 38,863.41
  4. Step 4: Simplify right side
    102,039.80x = 5,948,481,045.12
  5. Step 5: Solve for x
    x = 5,948,481,045.12/102,039.80
  6. Step 6: Final answer
    x = 58,295.69

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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.