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Finding the Fourth Proportional to 120,737.70, 181,098.45 and 31,989.30

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Solution

The fourth proportional to 120,737.70, 181,098.45 and 31,989.30 is: 47,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,737.70 : 181,098.45 = 31,989.30 : x
  2. Step 2: Convert to fraction form
    120,737.70/181,098.45 = 31,989.30/x
  3. Step 3: Cross multiply
    120,737.70x = 181,098.45 × 31,989.30
  4. Step 4: Simplify right side
    120,737.70x = 5,793,212,646.59
  5. Step 5: Solve for x
    x = 5,793,212,646.59/120,737.70
  6. Step 6: Final answer
    x = 47,981.80

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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.