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Finding the Fourth Proportional to 54,793.60, 82,222.80 and 39,965.20

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Solution

The fourth proportional to 54,793.60, 82,222.80 and 39,965.20 is: 59,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,793.60 : 82,222.80 = 39,965.20 : x
  2. Step 2: Convert to fraction form
    54,793.60/82,222.80 = 39,965.20/x
  3. Step 3: Cross multiply
    54,793.60x = 82,222.80 × 39,965.20
  4. Step 4: Simplify right side
    54,793.60x = 3,286,050,646.56
  5. Step 5: Solve for x
    x = 3,286,050,646.56/54,793.60
  6. Step 6: Final answer
    x = 59,971.43

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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.