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Finding the Fourth Proportional to 76,676.61, 115,182.59 and 54,631.65

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Solution

The fourth proportional to 76,676.61, 115,182.59 and 54,631.65 is: 82,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,676.61 : 115,182.59 = 54,631.65 : x
  2. Step 2: Convert to fraction form
    76,676.61/115,182.59 = 54,631.65/x
  3. Step 3: Cross multiply
    76,676.61x = 115,182.59 × 54,631.65
  4. Step 4: Simplify right side
    76,676.61x = 6,292,614,942.97
  5. Step 5: Solve for x
    x = 6,292,614,942.97/76,676.61
  6. Step 6: Final answer
    x = 82,066.94

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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.