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Finding the Fourth Proportional to 83,458.45, 115,174.74 and 47,651.79

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Solution

The fourth proportional to 83,458.45, 115,174.74 and 47,651.79 is: 65,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,458.45 : 115,174.74 = 47,651.79 : x
  2. Step 2: Convert to fraction form
    83,458.45/115,174.74 = 47,651.79/x
  3. Step 3: Cross multiply
    83,458.45x = 115,174.74 × 47,651.79
  4. Step 4: Simplify right side
    83,458.45x = 5,488,282,523.78
  5. Step 5: Solve for x
    x = 5,488,282,523.78/83,458.45
  6. Step 6: Final answer
    x = 65,760.66

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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.