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Finding the Fourth Proportional to 106.97, 147.56 and 86.27

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Solution

The fourth proportional to 106.97, 147.56 and 86.27 is: 119.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.97 : 147.56 = 86.27 : x
  2. Step 2: Convert to fraction form
    106.97/147.56 = 86.27/x
  3. Step 3: Cross multiply
    106.97x = 147.56 × 86.27
  4. Step 4: Simplify right side
    106.97x = 12,728.83
  5. Step 5: Solve for x
    x = 12,728.83/106.97
  6. Step 6: Final answer
    x = 119.00

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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.