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Finding the Fourth Proportional to 108,689.92, 162,794 and 83,544.80

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Solution

The fourth proportional to 108,689.92, 162,794 and 83,544.80 is: 125,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,689.92 : 162,794 = 83,544.80 : x
  2. Step 2: Convert to fraction form
    108,689.92/162,794 = 83,544.80/x
  3. Step 3: Cross multiply
    108,689.92x = 162,794 × 83,544.80
  4. Step 4: Simplify right side
    108,689.92x = 13,600,592,171.20
  5. Step 5: Solve for x
    x = 13,600,592,171.20/108,689.92
  6. Step 6: Final answer
    x = 125,132.05

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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.