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Finding the Fourth Proportional to 130,418.54, 195,627.87 and 71,221.85

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Solution

The fourth proportional to 130,418.54, 195,627.87 and 71,221.85 is: 106,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,418.54 : 195,627.87 = 71,221.85 : x
  2. Step 2: Convert to fraction form
    130,418.54/195,627.87 = 71,221.85/x
  3. Step 3: Cross multiply
    130,418.54x = 195,627.87 × 71,221.85
  4. Step 4: Simplify right side
    130,418.54x = 13,932,977,834.82
  5. Step 5: Solve for x
    x = 13,932,977,834.82/130,418.54
  6. Step 6: Final answer
    x = 106,832.80

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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.