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Finding the Fourth Proportional to 86,442, 119,290.44 and 48,716.88

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Solution

The fourth proportional to 86,442, 119,290.44 and 48,716.88 is: 67,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,442 : 119,290.44 = 48,716.88 : x
  2. Step 2: Convert to fraction form
    86,442/119,290.44 = 48,716.88/x
  3. Step 3: Cross multiply
    86,442x = 119,290.44 × 48,716.88
  4. Step 4: Simplify right side
    86,442x = 5,811,458,050.63
  5. Step 5: Solve for x
    x = 5,811,458,050.63/86,442
  6. Step 6: Final answer
    x = 67,229.56

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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.