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Finding the Fourth Proportional to 138,205.60, 207,308.80 and 38,371.20

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Solution

The fourth proportional to 138,205.60, 207,308.80 and 38,371.20 is: 57,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,205.60 : 207,308.80 = 38,371.20 : x
  2. Step 2: Convert to fraction form
    138,205.60/207,308.80 = 38,371.20/x
  3. Step 3: Cross multiply
    138,205.60x = 207,308.80 × 38,371.20
  4. Step 4: Simplify right side
    138,205.60x = 7,954,687,426.56
  5. Step 5: Solve for x
    x = 7,954,687,426.56/138,205.60
  6. Step 6: Final answer
    x = 57,556.91

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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.