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Finding the Fourth Proportional to 106,874.28, 160,320.78 and 27,988.56

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Solution

The fourth proportional to 106,874.28, 160,320.78 and 27,988.56 is: 41,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,874.28 : 160,320.78 = 27,988.56 : x
  2. Step 2: Convert to fraction form
    106,874.28/160,320.78 = 27,988.56/x
  3. Step 3: Cross multiply
    106,874.28x = 160,320.78 × 27,988.56
  4. Step 4: Simplify right side
    106,874.28x = 4,487,147,770.28
  5. Step 5: Solve for x
    x = 4,487,147,770.28/106,874.28
  6. Step 6: Final answer
    x = 41,985.29

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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.