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Finding the Fourth Proportional to 106.89, 147.58 and 101.78

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Solution

The fourth proportional to 106.89, 147.58 and 101.78 is: 140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.89 : 147.58 = 101.78 : x
  2. Step 2: Convert to fraction form
    106.89/147.58 = 101.78/x
  3. Step 3: Cross multiply
    106.89x = 147.58 × 101.78
  4. Step 4: Simplify right side
    106.89x = 15,019.45
  5. Step 5: Solve for x
    x = 15,019.45/106.89
  6. Step 6: Final answer
    x = 140.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.