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Finding the Fourth Proportional to 77,591.98, 116,387.80 and 21,431.94

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Solution

The fourth proportional to 77,591.98, 116,387.80 and 21,431.94 is: 32,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,591.98 : 116,387.80 = 21,431.94 : x
  2. Step 2: Convert to fraction form
    77,591.98/116,387.80 = 21,431.94/x
  3. Step 3: Cross multiply
    77,591.98x = 116,387.80 × 21,431.94
  4. Step 4: Simplify right side
    77,591.98x = 2,494,416,346.33
  5. Step 5: Solve for x
    x = 2,494,416,346.33/77,591.98
  6. Step 6: Final answer
    x = 32,147.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.