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Finding the Fourth Proportional to 121,414.80, 182,122.20 and 38,308.80

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Solution

The fourth proportional to 121,414.80, 182,122.20 and 38,308.80 is: 57,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,414.80 : 182,122.20 = 38,308.80 : x
  2. Step 2: Convert to fraction form
    121,414.80/182,122.20 = 38,308.80/x
  3. Step 3: Cross multiply
    121,414.80x = 182,122.20 × 38,308.80
  4. Step 4: Simplify right side
    121,414.80x = 6,976,882,935.36
  5. Step 5: Solve for x
    x = 6,976,882,935.36/121,414.80
  6. Step 6: Final answer
    x = 57,463.20

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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.