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Finding the Fourth Proportional to 106.18, 147.14 and 104.71

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Solution

The fourth proportional to 106.18, 147.14 and 104.71 is: 145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.18 : 147.14 = 104.71 : x
  2. Step 2: Convert to fraction form
    106.18/147.14 = 104.71/x
  3. Step 3: Cross multiply
    106.18x = 147.14 × 104.71
  4. Step 4: Simplify right side
    106.18x = 15,406.92
  5. Step 5: Solve for x
    x = 15,406.92/106.18
  6. Step 6: Final answer
    x = 145.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.