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Finding the Fourth Proportional to 120,721.70, 181,255.35 and 68,233.70

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Solution

The fourth proportional to 120,721.70, 181,255.35 and 68,233.70 is: 102,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,721.70 : 181,255.35 = 68,233.70 : x
  2. Step 2: Convert to fraction form
    120,721.70/181,255.35 = 68,233.70/x
  3. Step 3: Cross multiply
    120,721.70x = 181,255.35 × 68,233.70
  4. Step 4: Simplify right side
    120,721.70x = 12,367,723,175.30
  5. Step 5: Solve for x
    x = 12,367,723,175.30/120,721.70
  6. Step 6: Final answer
    x = 102,448.22

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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.