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Finding the Fourth Proportional to 120,400.16, 180,770.16 and 75,882.56

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Solution

The fourth proportional to 120,400.16, 180,770.16 and 75,882.56 is: 113,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,400.16 : 180,770.16 = 75,882.56 : x
  2. Step 2: Convert to fraction form
    120,400.16/180,770.16 = 75,882.56/x
  3. Step 3: Cross multiply
    120,400.16x = 180,770.16 × 75,882.56
  4. Step 4: Simplify right side
    120,400.16x = 13,717,302,512.41
  5. Step 5: Solve for x
    x = 13,717,302,512.41/120,400.16
  6. Step 6: Final answer
    x = 113,930.93

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1.5x scale

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.