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Finding the Fourth Proportional to 71,705.75, 98,945.90 and 39,872.75

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Solution

The fourth proportional to 71,705.75, 98,945.90 and 39,872.75 is: 55,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,705.75 : 98,945.90 = 39,872.75 : x
  2. Step 2: Convert to fraction form
    71,705.75/98,945.90 = 39,872.75/x
  3. Step 3: Cross multiply
    71,705.75x = 98,945.90 × 39,872.75
  4. Step 4: Simplify right side
    71,705.75x = 3,945,244,440.13
  5. Step 5: Solve for x
    x = 3,945,244,440.13/71,705.75
  6. Step 6: Final answer
    x = 55,019.92

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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.