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Finding the Fourth Proportional to 100,712.71, 150,932.98 and 38,349.19

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Solution

The fourth proportional to 100,712.71, 150,932.98 and 38,349.19 is: 57,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,712.71 : 150,932.98 = 38,349.19 : x
  2. Step 2: Convert to fraction form
    100,712.71/150,932.98 = 38,349.19/x
  3. Step 3: Cross multiply
    100,712.71x = 150,932.98 × 38,349.19
  4. Step 4: Simplify right side
    100,712.71x = 5,788,157,763.89
  5. Step 5: Solve for x
    x = 5,788,157,763.89/100,712.71
  6. Step 6: Final answer
    x = 57,471.97

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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.