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Finding the Fourth Proportional to 71,649.30, 98,809.95 and 48,713.61

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Solution

The fourth proportional to 71,649.30, 98,809.95 and 48,713.61 is: 67,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,649.30 : 98,809.95 = 48,713.61 : x
  2. Step 2: Convert to fraction form
    71,649.30/98,809.95 = 48,713.61/x
  3. Step 3: Cross multiply
    71,649.30x = 98,809.95 × 48,713.61
  4. Step 4: Simplify right side
    71,649.30x = 4,813,389,368.42
  5. Step 5: Solve for x
    x = 4,813,389,368.42/71,649.30
  6. Step 6: Final answer
    x = 67,179.85

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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.