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Finding the Fourth Proportional to 65,843.72, 98,768.78 and 21,470.41

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Solution

The fourth proportional to 65,843.72, 98,768.78 and 21,470.41 is: 32,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,843.72 : 98,768.78 = 21,470.41 : x
  2. Step 2: Convert to fraction form
    65,843.72/98,768.78 = 21,470.41/x
  3. Step 3: Cross multiply
    65,843.72x = 98,768.78 × 21,470.41
  4. Step 4: Simplify right side
    65,843.72x = 2,120,606,201.80
  5. Step 5: Solve for x
    x = 2,120,606,201.80/65,843.72
  6. Step 6: Final answer
    x = 32,206.66

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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.