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Finding the Fourth Proportional to 108,436.75, 162,689.16 and 65,209.44

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Solution

The fourth proportional to 108,436.75, 162,689.16 and 65,209.44 is: 97,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,436.75 : 162,689.16 = 65,209.44 : x
  2. Step 2: Convert to fraction form
    108,436.75/162,689.16 = 65,209.44/x
  3. Step 3: Cross multiply
    108,436.75x = 162,689.16 × 65,209.44
  4. Step 4: Simplify right side
    108,436.75x = 10,608,868,406.96
  5. Step 5: Solve for x
    x = 10,608,868,406.96/108,436.75
  6. Step 6: Final answer
    x = 97,834.62

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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.