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Finding the Fourth Proportional to 85,729.92, 118,311.74 and 47,493.66

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Solution

The fourth proportional to 85,729.92, 118,311.74 and 47,493.66 is: 65,543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,729.92 : 118,311.74 = 47,493.66 : x
  2. Step 2: Convert to fraction form
    85,729.92/118,311.74 = 47,493.66/x
  3. Step 3: Cross multiply
    85,729.92x = 118,311.74 × 47,493.66
  4. Step 4: Simplify right side
    85,729.92x = 5,619,057,553.57
  5. Step 5: Solve for x
    x = 5,619,057,553.57/85,729.92
  6. Step 6: Final answer
    x = 65,543.72

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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.