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Finding the Fourth Proportional to 137,750.40, 206,231.40 and 84,803.40

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Solution

The fourth proportional to 137,750.40, 206,231.40 and 84,803.40 is: 126,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,750.40 : 206,231.40 = 84,803.40 : x
  2. Step 2: Convert to fraction form
    137,750.40/206,231.40 = 84,803.40/x
  3. Step 3: Cross multiply
    137,750.40x = 206,231.40 × 84,803.40
  4. Step 4: Simplify right side
    137,750.40x = 17,489,123,906.76
  5. Step 5: Solve for x
    x = 17,489,123,906.76/137,750.40
  6. Step 6: Final answer
    x = 126,962.42

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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.