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Finding the Fourth Proportional to 65,778.21, 98,661.17 and 18,397.54

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Solution

The fourth proportional to 65,778.21, 98,661.17 and 18,397.54 is: 27,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,778.21 : 98,661.17 = 18,397.54 : x
  2. Step 2: Convert to fraction form
    65,778.21/98,661.17 = 18,397.54/x
  3. Step 3: Cross multiply
    65,778.21x = 98,661.17 × 18,397.54
  4. Step 4: Simplify right side
    65,778.21x = 1,815,122,821.52
  5. Step 5: Solve for x
    x = 1,815,122,821.52/65,778.21
  6. Step 6: Final answer
    x = 27,594.59

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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.