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Finding the Fourth Proportional to 95,715, 132,086.70 and 55,971

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Solution

The fourth proportional to 95,715, 132,086.70 and 55,971 is: 77,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,715 : 132,086.70 = 55,971 : x
  2. Step 2: Convert to fraction form
    95,715/132,086.70 = 55,971/x
  3. Step 3: Cross multiply
    95,715x = 132,086.70 × 55,971
  4. Step 4: Simplify right side
    95,715x = 7,393,024,685.70
  5. Step 5: Solve for x
    x = 7,393,024,685.70/95,715
  6. Step 6: Final answer
    x = 77,239.98

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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.