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Finding the Fourth Proportional to 77,679.89, 116,446.01 and 49,520.91

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Solution

The fourth proportional to 77,679.89, 116,446.01 and 49,520.91 is: 74,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,679.89 : 116,446.01 = 49,520.91 : x
  2. Step 2: Convert to fraction form
    77,679.89/116,446.01 = 49,520.91/x
  3. Step 3: Cross multiply
    77,679.89x = 116,446.01 × 49,520.91
  4. Step 4: Simplify right side
    77,679.89x = 5,766,512,133.46
  5. Step 5: Solve for x
    x = 5,766,512,133.46/77,679.89
  6. Step 6: Final answer
    x = 74,234.30

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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.