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Finding the Fourth Proportional to 137,712.60, 206,568.90 and 136,837.80

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Solution

The fourth proportional to 137,712.60, 206,568.90 and 136,837.80 is: 205,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,712.60 : 206,568.90 = 136,837.80 : x
  2. Step 2: Convert to fraction form
    137,712.60/206,568.90 = 136,837.80/x
  3. Step 3: Cross multiply
    137,712.60x = 206,568.90 × 136,837.80
  4. Step 4: Simplify right side
    137,712.60x = 28,266,433,824.42
  5. Step 5: Solve for x
    x = 28,266,433,824.42/137,712.60
  6. Step 6: Final answer
    x = 205,256.70

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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.