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Finding the Fourth Proportional to 126,608.60, 189,794.10 and 47,775.80

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Solution

The fourth proportional to 126,608.60, 189,794.10 and 47,775.80 is: 71,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,608.60 : 189,794.10 = 47,775.80 : x
  2. Step 2: Convert to fraction form
    126,608.60/189,794.10 = 47,775.80/x
  3. Step 3: Cross multiply
    126,608.60x = 189,794.10 × 47,775.80
  4. Step 4: Simplify right side
    126,608.60x = 9,067,564,962.78
  5. Step 5: Solve for x
    x = 9,067,564,962.78/126,608.60
  6. Step 6: Final answer
    x = 71,618.87

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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.