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Finding the Fourth Proportional to 80,961.12, 111,728.97 and 45,152.64

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Solution

The fourth proportional to 80,961.12, 111,728.97 and 45,152.64 is: 62,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,961.12 : 111,728.97 = 45,152.64 : x
  2. Step 2: Convert to fraction form
    80,961.12/111,728.97 = 45,152.64/x
  3. Step 3: Cross multiply
    80,961.12x = 111,728.97 × 45,152.64
  4. Step 4: Simplify right side
    80,961.12x = 5,044,857,959.98
  5. Step 5: Solve for x
    x = 5,044,857,959.98/80,961.12
  6. Step 6: Final answer
    x = 62,312.11

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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.