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Finding the Fourth Proportional to 137,781.60, 206,672.40 and 135,938.40

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Solution

The fourth proportional to 137,781.60, 206,672.40 and 135,938.40 is: 203,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,781.60 : 206,672.40 = 135,938.40 : x
  2. Step 2: Convert to fraction form
    137,781.60/206,672.40 = 135,938.40/x
  3. Step 3: Cross multiply
    137,781.60x = 206,672.40 × 135,938.40
  4. Step 4: Simplify right side
    137,781.60x = 28,094,715,380.16
  5. Step 5: Solve for x
    x = 28,094,715,380.16/137,781.60
  6. Step 6: Final answer
    x = 203,907.60

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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.