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Finding the Fourth Proportional to 138,663.72, 191,355.96 and 78,247.20

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Solution

The fourth proportional to 138,663.72, 191,355.96 and 78,247.20 is: 107,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,663.72 : 191,355.96 = 78,247.20 : x
  2. Step 2: Convert to fraction form
    138,663.72/191,355.96 = 78,247.20/x
  3. Step 3: Cross multiply
    138,663.72x = 191,355.96 × 78,247.20
  4. Step 4: Simplify right side
    138,663.72x = 14,973,068,073.31
  5. Step 5: Solve for x
    x = 14,973,068,073.31/138,663.72
  6. Step 6: Final answer
    x = 107,981.15

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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.