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Finding the Fourth Proportional to 131,886.44, 182,066.16 and 75,286.88

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Solution

The fourth proportional to 131,886.44, 182,066.16 and 75,286.88 is: 103,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,886.44 : 182,066.16 = 75,286.88 : x
  2. Step 2: Convert to fraction form
    131,886.44/182,066.16 = 75,286.88/x
  3. Step 3: Cross multiply
    131,886.44x = 182,066.16 × 75,286.88
  4. Step 4: Simplify right side
    131,886.44x = 13,707,193,139.98
  5. Step 5: Solve for x
    x = 13,707,193,139.98/131,886.44
  6. Step 6: Final answer
    x = 103,931.79

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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.