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Finding the Fourth Proportional to 138,906.16, 191,691.41 and 75,243.94

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Solution

The fourth proportional to 138,906.16, 191,691.41 and 75,243.94 is: 103,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,906.16 : 191,691.41 = 75,243.94 : x
  2. Step 2: Convert to fraction form
    138,906.16/191,691.41 = 75,243.94/x
  3. Step 3: Cross multiply
    138,906.16x = 191,691.41 × 75,243.94
  4. Step 4: Simplify right side
    138,906.16x = 14,423,616,952.56
  5. Step 5: Solve for x
    x = 14,423,616,952.56/138,906.16
  6. Step 6: Final answer
    x = 103,837.13

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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.