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Finding the Fourth Proportional to 107.15, 147.38 and 89.33

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Solution

The fourth proportional to 107.15, 147.38 and 89.33 is: 122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.15 : 147.38 = 89.33 : x
  2. Step 2: Convert to fraction form
    107.15/147.38 = 89.33/x
  3. Step 3: Cross multiply
    107.15x = 147.38 × 89.33
  4. Step 4: Simplify right side
    107.15x = 13,164.27
  5. Step 5: Solve for x
    x = 13,164.27/107.15
  6. Step 6: Final answer
    x = 122.86

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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.