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Finding the Fourth Proportional to 121,151.92, 181,737.24 and 36,919.30

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Solution

The fourth proportional to 121,151.92, 181,737.24 and 36,919.30 is: 55,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,151.92 : 181,737.24 = 36,919.30 : x
  2. Step 2: Convert to fraction form
    121,151.92/181,737.24 = 36,919.30/x
  3. Step 3: Cross multiply
    121,151.92x = 181,737.24 × 36,919.30
  4. Step 4: Simplify right side
    121,151.92x = 6,709,611,684.73
  5. Step 5: Solve for x
    x = 6,709,611,684.73/121,151.92
  6. Step 6: Final answer
    x = 55,381.80

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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.