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Finding the Fourth Proportional to 120,451.60, 180,842.88 and 61,327

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Solution

The fourth proportional to 120,451.60, 180,842.88 and 61,327 is: 92,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,451.60 : 180,842.88 = 61,327 : x
  2. Step 2: Convert to fraction form
    120,451.60/180,842.88 = 61,327/x
  3. Step 3: Cross multiply
    120,451.60x = 180,842.88 × 61,327
  4. Step 4: Simplify right side
    120,451.60x = 11,090,551,301.76
  5. Step 5: Solve for x
    x = 11,090,551,301.76/120,451.60
  6. Step 6: Final answer
    x = 92,074.75

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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.