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Finding the Fourth Proportional to 131,068, 180,873.84 and 71,452

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Solution

The fourth proportional to 131,068, 180,873.84 and 71,452 is: 98,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,068 : 180,873.84 = 71,452 : x
  2. Step 2: Convert to fraction form
    131,068/180,873.84 = 71,452/x
  3. Step 3: Cross multiply
    131,068x = 180,873.84 × 71,452
  4. Step 4: Simplify right side
    131,068x = 12,923,797,615.68
  5. Step 5: Solve for x
    x = 12,923,797,615.68/131,068
  6. Step 6: Final answer
    x = 98,603.76

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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.