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Finding the Fourth Proportional to 108,398.16, 162,198.11 and 65,550.78

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Solution

The fourth proportional to 108,398.16, 162,198.11 and 65,550.78 is: 98,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,398.16 : 162,198.11 = 65,550.78 : x
  2. Step 2: Convert to fraction form
    108,398.16/162,198.11 = 65,550.78/x
  3. Step 3: Cross multiply
    108,398.16x = 162,198.11 × 65,550.78
  4. Step 4: Simplify right side
    108,398.16x = 10,632,211,486.28
  5. Step 5: Solve for x
    x = 10,632,211,486.28/108,398.16
  6. Step 6: Final answer
    x = 98,084.80

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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.