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Finding the Fourth Proportional to 76,988.56, 115,490.13 and 30,230.50

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Solution

The fourth proportional to 76,988.56, 115,490.13 and 30,230.50 is: 45,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,988.56 : 115,490.13 = 30,230.50 : x
  2. Step 2: Convert to fraction form
    76,988.56/115,490.13 = 30,230.50/x
  3. Step 3: Cross multiply
    76,988.56x = 115,490.13 × 30,230.50
  4. Step 4: Simplify right side
    76,988.56x = 3,491,324,374.97
  5. Step 5: Solve for x
    x = 3,491,324,374.97/76,988.56
  6. Step 6: Final answer
    x = 45,348.61

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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.