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Finding the Fourth Proportional to 138,673.44, 207,878.92 and 85,398.12

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Solution

The fourth proportional to 138,673.44, 207,878.92 and 85,398.12 is: 128,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,673.44 : 207,878.92 = 85,398.12 : x
  2. Step 2: Convert to fraction form
    138,673.44/207,878.92 = 85,398.12/x
  3. Step 3: Cross multiply
    138,673.44x = 207,878.92 × 85,398.12
  4. Step 4: Simplify right side
    138,673.44x = 17,752,468,955.63
  5. Step 5: Solve for x
    x = 17,752,468,955.63/138,673.44
  6. Step 6: Final answer
    x = 128,016.36

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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.