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Finding the Fourth Proportional to 77,974.87, 107,605.33 and 42,164.88

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Solution

The fourth proportional to 77,974.87, 107,605.33 and 42,164.88 is: 58,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,974.87 : 107,605.33 = 42,164.88 : x
  2. Step 2: Convert to fraction form
    77,974.87/107,605.33 = 42,164.88/x
  3. Step 3: Cross multiply
    77,974.87x = 107,605.33 × 42,164.88
  4. Step 4: Simplify right side
    77,974.87x = 4,537,165,620.52
  5. Step 5: Solve for x
    x = 4,537,165,620.52/77,974.87
  6. Step 6: Final answer
    x = 58,187.54

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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.