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Finding the Fourth Proportional to 81,693.85, 112,734.03 and 47,704.24

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Solution

The fourth proportional to 81,693.85, 112,734.03 and 47,704.24 is: 65,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,693.85 : 112,734.03 = 47,704.24 : x
  2. Step 2: Convert to fraction form
    81,693.85/112,734.03 = 47,704.24/x
  3. Step 3: Cross multiply
    81,693.85x = 112,734.03 × 47,704.24
  4. Step 4: Simplify right side
    81,693.85x = 5,377,891,223.29
  5. Step 5: Solve for x
    x = 5,377,891,223.29/81,693.85
  6. Step 6: Final answer
    x = 65,829.82

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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.