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Finding the Fourth Proportional to 107.12, 147.72 and 77.96

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Solution

The fourth proportional to 107.12, 147.72 and 77.96 is: 107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.12 : 147.72 = 77.96 : x
  2. Step 2: Convert to fraction form
    107.12/147.72 = 77.96/x
  3. Step 3: Cross multiply
    107.12x = 147.72 × 77.96
  4. Step 4: Simplify right side
    107.12x = 11,516.25
  5. Step 5: Solve for x
    x = 11,516.25/107.12
  6. Step 6: Final answer
    x = 107.51

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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.