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Finding the Fourth Proportional to 65,821.40, 98,732.10 and 48,195.80

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Solution

The fourth proportional to 65,821.40, 98,732.10 and 48,195.80 is: 72,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,821.40 : 98,732.10 = 48,195.80 : x
  2. Step 2: Convert to fraction form
    65,821.40/98,732.10 = 48,195.80/x
  3. Step 3: Cross multiply
    65,821.40x = 98,732.10 × 48,195.80
  4. Step 4: Simplify right side
    65,821.40x = 4,758,472,545.18
  5. Step 5: Solve for x
    x = 4,758,472,545.18/65,821.40
  6. Step 6: Final answer
    x = 72,293.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.