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Finding the Fourth Proportional to 71,687.64, 98,923.34 and 39,854.60

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Solution

The fourth proportional to 71,687.64, 98,923.34 and 39,854.60 is: 54,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,687.64 : 98,923.34 = 39,854.60 : x
  2. Step 2: Convert to fraction form
    71,687.64/98,923.34 = 39,854.60/x
  3. Step 3: Cross multiply
    71,687.64x = 98,923.34 × 39,854.60
  4. Step 4: Simplify right side
    71,687.64x = 3,942,550,146.36
  5. Step 5: Solve for x
    x = 3,942,550,146.36/71,687.64
  6. Step 6: Final answer
    x = 54,996.23

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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.