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Finding the Fourth Proportional to 121,149.70, 181,724.55 and 83,824.90

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Solution

The fourth proportional to 121,149.70, 181,724.55 and 83,824.90 is: 125,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,149.70 : 181,724.55 = 83,824.90 : x
  2. Step 2: Convert to fraction form
    121,149.70/181,724.55 = 83,824.90/x
  3. Step 3: Cross multiply
    121,149.70x = 181,724.55 × 83,824.90
  4. Step 4: Simplify right side
    121,149.70x = 15,233,042,231.30
  5. Step 5: Solve for x
    x = 15,233,042,231.30/121,149.70
  6. Step 6: Final answer
    x = 125,737.35

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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.