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Finding the Fourth Proportional to 120,560.16, 180,819.60 and 31,814.60

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Solution

The fourth proportional to 120,560.16, 180,819.60 and 31,814.60 is: 47,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,560.16 : 180,819.60 = 31,814.60 : x
  2. Step 2: Convert to fraction form
    120,560.16/180,819.60 = 31,814.60/x
  3. Step 3: Cross multiply
    120,560.16x = 180,819.60 × 31,814.60
  4. Step 4: Simplify right side
    120,560.16x = 5,752,703,246.16
  5. Step 5: Solve for x
    x = 5,752,703,246.16/120,560.16
  6. Step 6: Final answer
    x = 47,716.45

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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.