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Finding the Fourth Proportional to 144,042.82, 198,778.80 and 80,376.82

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Solution

The fourth proportional to 144,042.82, 198,778.80 and 80,376.82 is: 110,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,042.82 : 198,778.80 = 80,376.82 : x
  2. Step 2: Convert to fraction form
    144,042.82/198,778.80 = 80,376.82/x
  3. Step 3: Cross multiply
    144,042.82x = 198,778.80 × 80,376.82
  4. Step 4: Simplify right side
    144,042.82x = 15,977,207,827.42
  5. Step 5: Solve for x
    x = 15,977,207,827.42/144,042.82
  6. Step 6: Final answer
    x = 110,919.85

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1.5x scale

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.