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Finding the Fourth Proportional to 71,132.48, 98,163 and 38,867.48

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Solution

The fourth proportional to 71,132.48, 98,163 and 38,867.48 is: 53,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,132.48 : 98,163 = 38,867.48 : x
  2. Step 2: Convert to fraction form
    71,132.48/98,163 = 38,867.48/x
  3. Step 3: Cross multiply
    71,132.48x = 98,163 × 38,867.48
  4. Step 4: Simplify right side
    71,132.48x = 3,815,348,439.24
  5. Step 5: Solve for x
    x = 3,815,348,439.24/71,132.48
  6. Step 6: Final answer
    x = 53,637.22

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1.5x scale

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.