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Finding the Fourth Proportional to 106.96, 147.64 and 86.36

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Solution

The fourth proportional to 106.96, 147.64 and 86.36 is: 119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.96 : 147.64 = 86.36 : x
  2. Step 2: Convert to fraction form
    106.96/147.64 = 86.36/x
  3. Step 3: Cross multiply
    106.96x = 147.64 × 86.36
  4. Step 4: Simplify right side
    106.96x = 12,750.19
  5. Step 5: Solve for x
    x = 12,750.19/106.96
  6. Step 6: Final answer
    x = 119.21

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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.