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Finding the Fourth Proportional to 138,427.92, 191,033.49 and 77,177.88

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Solution

The fourth proportional to 138,427.92, 191,033.49 and 77,177.88 is: 106,507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,427.92 : 191,033.49 = 77,177.88 : x
  2. Step 2: Convert to fraction form
    138,427.92/191,033.49 = 77,177.88/x
  3. Step 3: Cross multiply
    138,427.92x = 191,033.49 × 77,177.88
  4. Step 4: Simplify right side
    138,427.92x = 14,743,559,767.20
  5. Step 5: Solve for x
    x = 14,743,559,767.20/138,427.92
  6. Step 6: Final answer
    x = 106,507.12

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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.