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Finding the Fourth Proportional to 121,419.40, 182,129.10 and 81,761.80

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Solution

The fourth proportional to 121,419.40, 182,129.10 and 81,761.80 is: 122,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,419.40 : 182,129.10 = 81,761.80 : x
  2. Step 2: Convert to fraction form
    121,419.40/182,129.10 = 81,761.80/x
  3. Step 3: Cross multiply
    121,419.40x = 182,129.10 × 81,761.80
  4. Step 4: Simplify right side
    121,419.40x = 14,891,203,048.38
  5. Step 5: Solve for x
    x = 14,891,203,048.38/121,419.40
  6. Step 6: Final answer
    x = 122,642.70

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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.