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Finding the Fourth Proportional to 138,963.92, 191,769.56 and 75,301.76

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Solution

The fourth proportional to 138,963.92, 191,769.56 and 75,301.76 is: 103,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,963.92 : 191,769.56 = 75,301.76 : x
  2. Step 2: Convert to fraction form
    138,963.92/191,769.56 = 75,301.76/x
  3. Step 3: Cross multiply
    138,963.92x = 191,769.56 × 75,301.76
  4. Step 4: Simplify right side
    138,963.92x = 14,440,585,382.43
  5. Step 5: Solve for x
    x = 14,440,585,382.43/138,963.92
  6. Step 6: Final answer
    x = 103,916.08

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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.