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Finding the Fourth Proportional to 71,764.93, 107,625.49 and 57,691.58

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Solution

The fourth proportional to 71,764.93, 107,625.49 and 57,691.58 is: 86,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,764.93 : 107,625.49 = 57,691.58 : x
  2. Step 2: Convert to fraction form
    71,764.93/107,625.49 = 57,691.58/x
  3. Step 3: Cross multiply
    71,764.93x = 107,625.49 × 57,691.58
  4. Step 4: Simplify right side
    71,764.93x = 6,209,084,566.37
  5. Step 5: Solve for x
    x = 6,209,084,566.37/71,764.93
  6. Step 6: Final answer
    x = 86,519.76

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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.