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Finding the Fourth Proportional to 138,520.80, 207,781.20 and 121,024.80

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Solution

The fourth proportional to 138,520.80, 207,781.20 and 121,024.80 is: 181,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,520.80 : 207,781.20 = 121,024.80 : x
  2. Step 2: Convert to fraction form
    138,520.80/207,781.20 = 121,024.80/x
  3. Step 3: Cross multiply
    138,520.80x = 207,781.20 × 121,024.80
  4. Step 4: Simplify right side
    138,520.80x = 25,146,678,173.76
  5. Step 5: Solve for x
    x = 25,146,678,173.76/138,520.80
  6. Step 6: Final answer
    x = 181,537.20

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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.