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Finding the Fourth Proportional to 138,966.48, 191,772.48 and 75,304.80

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Solution

The fourth proportional to 138,966.48, 191,772.48 and 75,304.80 is: 103,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,966.48 : 191,772.48 = 75,304.80 : x
  2. Step 2: Convert to fraction form
    138,966.48/191,772.48 = 75,304.80/x
  3. Step 3: Cross multiply
    138,966.48x = 191,772.48 × 75,304.80
  4. Step 4: Simplify right side
    138,966.48x = 14,441,388,251.90
  5. Step 5: Solve for x
    x = 14,441,388,251.90/138,966.48
  6. Step 6: Final answer
    x = 103,919.94

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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.