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Finding the Fourth Proportional to 67,097.60, 100,531.20 and 31,961.60

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Solution

The fourth proportional to 67,097.60, 100,531.20 and 31,961.60 is: 47,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,097.60 : 100,531.20 = 31,961.60 : x
  2. Step 2: Convert to fraction form
    67,097.60/100,531.20 = 31,961.60/x
  3. Step 3: Cross multiply
    67,097.60x = 100,531.20 × 31,961.60
  4. Step 4: Simplify right side
    67,097.60x = 3,213,138,001.92
  5. Step 5: Solve for x
    x = 3,213,138,001.92/67,097.60
  6. Step 6: Final answer
    x = 47,887.53

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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.