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Finding the Fourth Proportional to 71,510.47, 98,684.47 and 39,679.60

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Solution

The fourth proportional to 71,510.47, 98,684.47 and 39,679.60 is: 54,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,510.47 : 98,684.47 = 39,679.60 : x
  2. Step 2: Convert to fraction form
    71,510.47/98,684.47 = 39,679.60/x
  3. Step 3: Cross multiply
    71,510.47x = 98,684.47 × 39,679.60
  4. Step 4: Simplify right side
    71,510.47x = 3,915,760,295.81
  5. Step 5: Solve for x
    x = 3,915,760,295.81/71,510.47
  6. Step 6: Final answer
    x = 54,757.86

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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.