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Finding the Fourth Proportional to 100,287.97, 138,397.38 and 54,967.41

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Solution

The fourth proportional to 100,287.97, 138,397.38 and 54,967.41 is: 75,855.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,287.97 : 138,397.38 = 54,967.41 : x
  2. Step 2: Convert to fraction form
    100,287.97/138,397.38 = 54,967.41/x
  3. Step 3: Cross multiply
    100,287.97x = 138,397.38 × 54,967.41
  4. Step 4: Simplify right side
    100,287.97x = 7,607,344,562.56
  5. Step 5: Solve for x
    x = 7,607,344,562.56/100,287.97
  6. Step 6: Final answer
    x = 75,855.01

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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.