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Finding the Fourth Proportional to 80,640, 120,961.66 and 29,346.91

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Solution

The fourth proportional to 80,640, 120,961.66 and 29,346.91 is: 44,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,640 : 120,961.66 = 29,346.91 : x
  2. Step 2: Convert to fraction form
    80,640/120,961.66 = 29,346.91/x
  3. Step 3: Cross multiply
    80,640x = 120,961.66 × 29,346.91
  4. Step 4: Simplify right side
    80,640x = 3,549,850,344.66
  5. Step 5: Solve for x
    x = 3,549,850,344.66/80,640
  6. Step 6: Final answer
    x = 44,020.96

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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.