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Finding the Fourth Proportional to 57,791.19, 86,711.82 and 20,377.98

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Solution

The fourth proportional to 57,791.19, 86,711.82 and 20,377.98 is: 30,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,791.19 : 86,711.82 = 20,377.98 : x
  2. Step 2: Convert to fraction form
    57,791.19/86,711.82 = 20,377.98/x
  3. Step 3: Cross multiply
    57,791.19x = 86,711.82 × 20,377.98
  4. Step 4: Simplify right side
    57,791.19x = 1,767,011,950.50
  5. Step 5: Solve for x
    x = 1,767,011,950.50/57,791.19
  6. Step 6: Final answer
    x = 30,575.80

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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.