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Finding the Fourth Proportional to 71,721.60, 98,978.20 and 39,457.56

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Solution

The fourth proportional to 71,721.60, 98,978.20 and 39,457.56 is: 54,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,721.60 : 98,978.20 = 39,457.56 : x
  2. Step 2: Convert to fraction form
    71,721.60/98,978.20 = 39,457.56/x
  3. Step 3: Cross multiply
    71,721.60x = 98,978.20 × 39,457.56
  4. Step 4: Simplify right side
    71,721.60x = 3,905,438,265.19
  5. Step 5: Solve for x
    x = 3,905,438,265.19/71,721.60
  6. Step 6: Final answer
    x = 54,452.75

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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.