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Finding the Fourth Proportional to 138,436.52, 191,035.14 and 78,007.28

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Solution

The fourth proportional to 138,436.52, 191,035.14 and 78,007.28 is: 107,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,436.52 : 191,035.14 = 78,007.28 : x
  2. Step 2: Convert to fraction form
    138,436.52/191,035.14 = 78,007.28/x
  3. Step 3: Cross multiply
    138,436.52x = 191,035.14 × 78,007.28
  4. Step 4: Simplify right side
    138,436.52x = 14,902,131,655.82
  5. Step 5: Solve for x
    x = 14,902,131,655.82/138,436.52
  6. Step 6: Final answer
    x = 107,645.96

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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.