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Finding the Fourth Proportional to 138,665.97, 191,342.58 and 78,233.08

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Solution

The fourth proportional to 138,665.97, 191,342.58 and 78,233.08 is: 107,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,665.97 : 191,342.58 = 78,233.08 : x
  2. Step 2: Convert to fraction form
    138,665.97/191,342.58 = 78,233.08/x
  3. Step 3: Cross multiply
    138,665.97x = 191,342.58 × 78,233.08
  4. Step 4: Simplify right side
    138,665.97x = 14,969,319,314.35
  5. Step 5: Solve for x
    x = 14,969,319,314.35/138,665.97
  6. Step 6: Final answer
    x = 107,952.37

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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.