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Finding the Fourth Proportional to 138,010.80, 206,578.80 and 98,644.80

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Solution

The fourth proportional to 138,010.80, 206,578.80 and 98,644.80 is: 147,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,010.80 : 206,578.80 = 98,644.80 : x
  2. Step 2: Convert to fraction form
    138,010.80/206,578.80 = 98,644.80/x
  3. Step 3: Cross multiply
    138,010.80x = 206,578.80 × 98,644.80
  4. Step 4: Simplify right side
    138,010.80x = 20,377,924,410.24
  5. Step 5: Solve for x
    x = 20,377,924,410.24/138,010.80
  6. Step 6: Final answer
    x = 147,654.56

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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.