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Finding the Fourth Proportional to 138,169.80, 207,254.70 and 121,840.20

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Solution

The fourth proportional to 138,169.80, 207,254.70 and 121,840.20 is: 182,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,169.80 : 207,254.70 = 121,840.20 : x
  2. Step 2: Convert to fraction form
    138,169.80/207,254.70 = 121,840.20/x
  3. Step 3: Cross multiply
    138,169.80x = 207,254.70 × 121,840.20
  4. Step 4: Simplify right side
    138,169.80x = 25,251,954,098.94
  5. Step 5: Solve for x
    x = 25,251,954,098.94/138,169.80
  6. Step 6: Final answer
    x = 182,760.30

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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.