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Finding the Fourth Proportional to 65,863.92, 98,804 and 21,478.80

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Solution

The fourth proportional to 65,863.92, 98,804 and 21,478.80 is: 32,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,863.92 : 98,804 = 21,478.80 : x
  2. Step 2: Convert to fraction form
    65,863.92/98,804 = 21,478.80/x
  3. Step 3: Cross multiply
    65,863.92x = 98,804 × 21,478.80
  4. Step 4: Simplify right side
    65,863.92x = 2,122,191,355.20
  5. Step 5: Solve for x
    x = 2,122,191,355.20/65,863.92
  6. Step 6: Final answer
    x = 32,220.85

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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.