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Finding the Fourth Proportional to 76,115.49, 114,242.48 and 40,606.91

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Solution

The fourth proportional to 76,115.49, 114,242.48 and 40,606.91 is: 60,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,115.49 : 114,242.48 = 40,606.91 : x
  2. Step 2: Convert to fraction form
    76,115.49/114,242.48 = 40,606.91/x
  3. Step 3: Cross multiply
    76,115.49x = 114,242.48 × 40,606.91
  4. Step 4: Simplify right side
    76,115.49x = 4,639,034,103.54
  5. Step 5: Solve for x
    x = 4,639,034,103.54/76,115.49
  6. Step 6: Final answer
    x = 60,947.31

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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.