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Finding the Fourth Proportional to 71,301, 98,421.30 and 41,493

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Solution

The fourth proportional to 71,301, 98,421.30 and 41,493 is: 57,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,301 : 98,421.30 = 41,493 : x
  2. Step 2: Convert to fraction form
    71,301/98,421.30 = 41,493/x
  3. Step 3: Cross multiply
    71,301x = 98,421.30 × 41,493
  4. Step 4: Simplify right side
    71,301x = 4,083,795,000.90
  5. Step 5: Solve for x
    x = 4,083,795,000.90/71,301
  6. Step 6: Final answer
    x = 57,275.42

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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.