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Finding the Fourth Proportional to 138,328.80, 207,493.20 and 137,016.60

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Solution

The fourth proportional to 138,328.80, 207,493.20 and 137,016.60 is: 205,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,328.80 : 207,493.20 = 137,016.60 : x
  2. Step 2: Convert to fraction form
    138,328.80/207,493.20 = 137,016.60/x
  3. Step 3: Cross multiply
    138,328.80x = 207,493.20 × 137,016.60
  4. Step 4: Simplify right side
    138,328.80x = 28,430,012,787.12
  5. Step 5: Solve for x
    x = 28,430,012,787.12/138,328.80
  6. Step 6: Final answer
    x = 205,524.90

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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.