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Finding the Fourth Proportional to 76,854.61, 115,321.11 and 51,842.24

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Solution

The fourth proportional to 76,854.61, 115,321.11 and 51,842.24 is: 77,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,854.61 : 115,321.11 = 51,842.24 : x
  2. Step 2: Convert to fraction form
    76,854.61/115,321.11 = 51,842.24/x
  3. Step 3: Cross multiply
    76,854.61x = 115,321.11 × 51,842.24
  4. Step 4: Simplify right side
    76,854.61x = 5,978,504,085.08
  5. Step 5: Solve for x
    x = 5,978,504,085.08/76,854.61
  6. Step 6: Final answer
    x = 77,789.80

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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.