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Finding the Fourth Proportional to 78,286.66, 108,034.22 and 47,648.68

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Solution

The fourth proportional to 78,286.66, 108,034.22 and 47,648.68 is: 65,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,286.66 : 108,034.22 = 47,648.68 : x
  2. Step 2: Convert to fraction form
    78,286.66/108,034.22 = 47,648.68/x
  3. Step 3: Cross multiply
    78,286.66x = 108,034.22 × 47,648.68
  4. Step 4: Simplify right side
    78,286.66x = 5,147,687,826.87
  5. Step 5: Solve for x
    x = 5,147,687,826.87/78,286.66
  6. Step 6: Final answer
    x = 65,754.34

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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.