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Finding the Fourth Proportional to 76,801.74, 115,159.22 and 31,797.66

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Solution

The fourth proportional to 76,801.74, 115,159.22 and 31,797.66 is: 47,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,801.74 : 115,159.22 = 31,797.66 : x
  2. Step 2: Convert to fraction form
    76,801.74/115,159.22 = 31,797.66/x
  3. Step 3: Cross multiply
    76,801.74x = 115,159.22 × 31,797.66
  4. Step 4: Simplify right side
    76,801.74x = 3,661,793,723.43
  5. Step 5: Solve for x
    x = 3,661,793,723.43/76,801.74
  6. Step 6: Final answer
    x = 47,678.53

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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.