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Finding the Fourth Proportional to 120,234.60, 165,959.46 and 77,792.04

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Solution

The fourth proportional to 120,234.60, 165,959.46 and 77,792.04 is: 107,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,234.60 : 165,959.46 = 77,792.04 : x
  2. Step 2: Convert to fraction form
    120,234.60/165,959.46 = 77,792.04/x
  3. Step 3: Cross multiply
    120,234.60x = 165,959.46 × 77,792.04
  4. Step 4: Simplify right side
    120,234.60x = 12,910,324,950.70
  5. Step 5: Solve for x
    x = 12,910,324,950.70/120,234.60
  6. Step 6: Final answer
    x = 107,376.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.