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Finding the Fourth Proportional to 137,843.60, 206,959.80 and 85,355.60

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Solution

The fourth proportional to 137,843.60, 206,959.80 and 85,355.60 is: 128,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,843.60 : 206,959.80 = 85,355.60 : x
  2. Step 2: Convert to fraction form
    137,843.60/206,959.80 = 85,355.60/x
  3. Step 3: Cross multiply
    137,843.60x = 206,959.80 × 85,355.60
  4. Step 4: Simplify right side
    137,843.60x = 17,665,177,904.88
  5. Step 5: Solve for x
    x = 17,665,177,904.88/137,843.60
  6. Step 6: Final answer
    x = 128,153.78

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1.5x scale

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.