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Finding the Fourth Proportional to 144,082.92, 198,836.49 and 80,420.72

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Solution

The fourth proportional to 144,082.92, 198,836.49 and 80,420.72 is: 110,981.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,082.92 : 198,836.49 = 80,420.72 : x
  2. Step 2: Convert to fraction form
    144,082.92/198,836.49 = 80,420.72/x
  3. Step 3: Cross multiply
    144,082.92x = 198,836.49 × 80,420.72
  4. Step 4: Simplify right side
    144,082.92x = 15,990,572,693.89
  5. Step 5: Solve for x
    x = 15,990,572,693.89/144,082.92
  6. Step 6: Final answer
    x = 110,981.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.