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Finding the Fourth Proportional to 121,151.80, 181,655.70 and 74,438.20

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Solution

The fourth proportional to 121,151.80, 181,655.70 and 74,438.20 is: 111,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,151.80 : 181,655.70 = 74,438.20 : x
  2. Step 2: Convert to fraction form
    121,151.80/181,655.70 = 74,438.20/x
  3. Step 3: Cross multiply
    121,151.80x = 181,655.70 × 74,438.20
  4. Step 4: Simplify right side
    121,151.80x = 13,522,123,327.74
  5. Step 5: Solve for x
    x = 13,522,123,327.74/121,151.80
  6. Step 6: Final answer
    x = 111,613.06

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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.