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Finding the Fourth Proportional to 120,473.76, 180,713.55 and 40,512.77

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Solution

The fourth proportional to 120,473.76, 180,713.55 and 40,512.77 is: 60,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,473.76 : 180,713.55 = 40,512.77 : x
  2. Step 2: Convert to fraction form
    120,473.76/180,713.55 = 40,512.77/x
  3. Step 3: Cross multiply
    120,473.76x = 180,713.55 × 40,512.77
  4. Step 4: Simplify right side
    120,473.76x = 7,321,206,938.82
  5. Step 5: Solve for x
    x = 7,321,206,938.82/120,473.76
  6. Step 6: Final answer
    x = 60,770.14

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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.