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Finding the Fourth Proportional to 106.65, 147.01 and 84.78

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Solution

The fourth proportional to 106.65, 147.01 and 84.78 is: 116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.65 : 147.01 = 84.78 : x
  2. Step 2: Convert to fraction form
    106.65/147.01 = 84.78/x
  3. Step 3: Cross multiply
    106.65x = 147.01 × 84.78
  4. Step 4: Simplify right side
    106.65x = 12,463.51
  5. Step 5: Solve for x
    x = 12,463.51/106.65
  6. Step 6: Final answer
    x = 116.86

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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.