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Finding the Fourth Proportional to 138,642.60, 207,963.22 and 54,343.20

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Solution

The fourth proportional to 138,642.60, 207,963.22 and 54,343.20 is: 81,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,642.60 : 207,963.22 = 54,343.20 : x
  2. Step 2: Convert to fraction form
    138,642.60/207,963.22 = 54,343.20/x
  3. Step 3: Cross multiply
    138,642.60x = 207,963.22 × 54,343.20
  4. Step 4: Simplify right side
    138,642.60x = 11,301,386,857.10
  5. Step 5: Solve for x
    x = 11,301,386,857.10/138,642.60
  6. Step 6: Final answer
    x = 81,514.53

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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.