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Finding the Fourth Proportional to 102,279, 141,147.18 and 57,567

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Solution

The fourth proportional to 102,279, 141,147.18 and 57,567 is: 79,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,279 : 141,147.18 = 57,567 : x
  2. Step 2: Convert to fraction form
    102,279/141,147.18 = 57,567/x
  3. Step 3: Cross multiply
    102,279x = 141,147.18 × 57,567
  4. Step 4: Simplify right side
    102,279x = 8,125,419,711.06
  5. Step 5: Solve for x
    x = 8,125,419,711.06/102,279
  6. Step 6: Final answer
    x = 79,443.68

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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.