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Finding the Fourth Proportional to 138,580.56, 191,246.76 and 77,332.11

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Solution

The fourth proportional to 138,580.56, 191,246.76 and 77,332.11 is: 106,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,580.56 : 191,246.76 = 77,332.11 : x
  2. Step 2: Convert to fraction form
    138,580.56/191,246.76 = 77,332.11/x
  3. Step 3: Cross multiply
    138,580.56x = 191,246.76 × 77,332.11
  4. Step 4: Simplify right side
    138,580.56x = 14,789,515,481.46
  5. Step 5: Solve for x
    x = 14,789,515,481.46/138,580.56
  6. Step 6: Final answer
    x = 106,721.43

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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.