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Finding the Fourth Proportional to 138,818.70, 191,569.56 and 75,156.48

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Solution

The fourth proportional to 138,818.70, 191,569.56 and 75,156.48 is: 103,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,818.70 : 191,569.56 = 75,156.48 : x
  2. Step 2: Convert to fraction form
    138,818.70/191,569.56 = 75,156.48/x
  3. Step 3: Cross multiply
    138,818.70x = 191,569.56 × 75,156.48
  4. Step 4: Simplify right side
    138,818.70x = 14,397,693,804.75
  5. Step 5: Solve for x
    x = 14,397,693,804.75/138,818.70
  6. Step 6: Final answer
    x = 103,715.81

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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.