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Finding the Fourth Proportional to 76,999.40, 115,488.30 and 24,414.20

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Solution

The fourth proportional to 76,999.40, 115,488.30 and 24,414.20 is: 36,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,999.40 : 115,488.30 = 24,414.20 : x
  2. Step 2: Convert to fraction form
    76,999.40/115,488.30 = 24,414.20/x
  3. Step 3: Cross multiply
    76,999.40x = 115,488.30 × 24,414.20
  4. Step 4: Simplify right side
    76,999.40x = 2,819,554,453.86
  5. Step 5: Solve for x
    x = 2,819,554,453.86/76,999.40
  6. Step 6: Final answer
    x = 36,617.88

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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.