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Finding the Fourth Proportional to 76,959.50, 106,221.80 and 45,138.65

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Solution

The fourth proportional to 76,959.50, 106,221.80 and 45,138.65 is: 62,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,959.50 : 106,221.80 = 45,138.65 : x
  2. Step 2: Convert to fraction form
    76,959.50/106,221.80 = 45,138.65/x
  3. Step 3: Cross multiply
    76,959.50x = 106,221.80 × 45,138.65
  4. Step 4: Simplify right side
    76,959.50x = 4,794,707,895.77
  5. Step 5: Solve for x
    x = 4,794,707,895.77/76,959.50
  6. Step 6: Final answer
    x = 62,301.71

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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.