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Finding the Fourth Proportional to 80,667.76, 121,001.76 and 31,419.76

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Solution

The fourth proportional to 80,667.76, 121,001.76 and 31,419.76 is: 47,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,667.76 : 121,001.76 = 31,419.76 : x
  2. Step 2: Convert to fraction form
    80,667.76/121,001.76 = 31,419.76/x
  3. Step 3: Cross multiply
    80,667.76x = 121,001.76 × 31,419.76
  4. Step 4: Simplify right side
    80,667.76x = 3,801,846,258.78
  5. Step 5: Solve for x
    x = 3,801,846,258.78/80,667.76
  6. Step 6: Final answer
    x = 47,129.69

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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.