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Finding the Fourth Proportional to 85,540, 118,045.20 and 47,821.54

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Solution

The fourth proportional to 85,540, 118,045.20 and 47,821.54 is: 65,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,540 : 118,045.20 = 47,821.54 : x
  2. Step 2: Convert to fraction form
    85,540/118,045.20 = 47,821.54/x
  3. Step 3: Cross multiply
    85,540x = 118,045.20 × 47,821.54
  4. Step 4: Simplify right side
    85,540x = 5,645,103,253.61
  5. Step 5: Solve for x
    x = 5,645,103,253.61/85,540
  6. Step 6: Final answer
    x = 65,993.73

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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.