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Finding the Fourth Proportional to 120,532.68, 180,800.54 and 83,082.70

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Solution

The fourth proportional to 120,532.68, 180,800.54 and 83,082.70 is: 124,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,532.68 : 180,800.54 = 83,082.70 : x
  2. Step 2: Convert to fraction form
    120,532.68/180,800.54 = 83,082.70/x
  3. Step 3: Cross multiply
    120,532.68x = 180,800.54 × 83,082.70
  4. Step 4: Simplify right side
    120,532.68x = 15,021,397,024.66
  5. Step 5: Solve for x
    x = 15,021,397,024.66/120,532.68
  6. Step 6: Final answer
    x = 124,625.10

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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.