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Finding the Fourth Proportional to 57,849.26, 79,920.47 and 49,438.42

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Solution

The fourth proportional to 57,849.26, 79,920.47 and 49,438.42 is: 68,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,849.26 : 79,920.47 = 49,438.42 : x
  2. Step 2: Convert to fraction form
    57,849.26/79,920.47 = 49,438.42/x
  3. Step 3: Cross multiply
    57,849.26x = 79,920.47 × 49,438.42
  4. Step 4: Simplify right side
    57,849.26x = 3,951,141,686.25
  5. Step 5: Solve for x
    x = 3,951,141,686.25/57,849.26
  6. Step 6: Final answer
    x = 68,300.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.