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Finding the Fourth Proportional to 138,114.97, 207,171.86 and 38,274.88

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Solution

The fourth proportional to 138,114.97, 207,171.86 and 38,274.88 is: 57,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,114.97 : 207,171.86 = 38,274.88 : x
  2. Step 2: Convert to fraction form
    138,114.97/207,171.86 = 38,274.88/x
  3. Step 3: Cross multiply
    138,114.97x = 207,171.86 × 38,274.88
  4. Step 4: Simplify right side
    138,114.97x = 7,929,478,080.88
  5. Step 5: Solve for x
    x = 7,929,478,080.88/138,114.97
  6. Step 6: Final answer
    x = 57,412.16

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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.