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Finding the Fourth Proportional to 71,768.70, 99,040.32 and 39,505.23

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Solution

The fourth proportional to 71,768.70, 99,040.32 and 39,505.23 is: 54,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,768.70 : 99,040.32 = 39,505.23 : x
  2. Step 2: Convert to fraction form
    71,768.70/99,040.32 = 39,505.23/x
  3. Step 3: Cross multiply
    71,768.70x = 99,040.32 × 39,505.23
  4. Step 4: Simplify right side
    71,768.70x = 3,912,610,620.87
  5. Step 5: Solve for x
    x = 3,912,610,620.87/71,768.70
  6. Step 6: Final answer
    x = 54,516.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.