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Finding the Fourth Proportional to 107.87, 161.02 and 100.78

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Solution

The fourth proportional to 107.87, 161.02 and 100.78 is: 150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.87 : 161.02 = 100.78 : x
  2. Step 2: Convert to fraction form
    107.87/161.02 = 100.78/x
  3. Step 3: Cross multiply
    107.87x = 161.02 × 100.78
  4. Step 4: Simplify right side
    107.87x = 16,227.32
  5. Step 5: Solve for x
    x = 16,227.32/107.87
  6. Step 6: Final answer
    x = 150.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.