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Finding the Fourth Proportional to 76,873.80, 115,310.70 and 47,195.40

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Solution

The fourth proportional to 76,873.80, 115,310.70 and 47,195.40 is: 70,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,873.80 : 115,310.70 = 47,195.40 : x
  2. Step 2: Convert to fraction form
    76,873.80/115,310.70 = 47,195.40/x
  3. Step 3: Cross multiply
    76,873.80x = 115,310.70 × 47,195.40
  4. Step 4: Simplify right side
    76,873.80x = 5,442,134,610.78
  5. Step 5: Solve for x
    x = 5,442,134,610.78/76,873.80
  6. Step 6: Final answer
    x = 70,793.10

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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.