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Finding the Fourth Proportional to 108,002.70, 161,874.45 and 55,385.10

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Solution

The fourth proportional to 108,002.70, 161,874.45 and 55,385.10 is: 83,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,002.70 : 161,874.45 = 55,385.10 : x
  2. Step 2: Convert to fraction form
    108,002.70/161,874.45 = 55,385.10/x
  3. Step 3: Cross multiply
    108,002.70x = 161,874.45 × 55,385.10
  4. Step 4: Simplify right side
    108,002.70x = 8,965,432,600.70
  5. Step 5: Solve for x
    x = 8,965,432,600.70/108,002.70
  6. Step 6: Final answer
    x = 83,011.19

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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.