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Finding the Fourth Proportional to 71,275.95, 98,371.86 and 40,649.12

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Solution

The fourth proportional to 71,275.95, 98,371.86 and 40,649.12 is: 56,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,275.95 : 98,371.86 = 40,649.12 : x
  2. Step 2: Convert to fraction form
    71,275.95/98,371.86 = 40,649.12/x
  3. Step 3: Cross multiply
    71,275.95x = 98,371.86 × 40,649.12
  4. Step 4: Simplify right side
    71,275.95x = 3,998,729,049.90
  5. Step 5: Solve for x
    x = 3,998,729,049.90/71,275.95
  6. Step 6: Final answer
    x = 56,102.08

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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.