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Finding the Fourth Proportional to 138,252.51, 207,046.56 and 78,908.28

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Solution

The fourth proportional to 138,252.51, 207,046.56 and 78,908.28 is: 118,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,252.51 : 207,046.56 = 78,908.28 : x
  2. Step 2: Convert to fraction form
    138,252.51/207,046.56 = 78,908.28/x
  3. Step 3: Cross multiply
    138,252.51x = 207,046.56 × 78,908.28
  4. Step 4: Simplify right side
    138,252.51x = 16,337,687,929.52
  5. Step 5: Solve for x
    x = 16,337,687,929.52/138,252.51
  6. Step 6: Final answer
    x = 118,172.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.