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Finding the Fourth Proportional to 71,245.29, 98,309.98 and 39,409.86

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Solution

The fourth proportional to 71,245.29, 98,309.98 and 39,409.86 is: 54,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,245.29 : 98,309.98 = 39,409.86 : x
  2. Step 2: Convert to fraction form
    71,245.29/98,309.98 = 39,409.86/x
  3. Step 3: Cross multiply
    71,245.29x = 98,309.98 × 39,409.86
  4. Step 4: Simplify right side
    71,245.29x = 3,874,382,548.40
  5. Step 5: Solve for x
    x = 3,874,382,548.40/71,245.29
  6. Step 6: Final answer
    x = 54,380.89

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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.