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Finding the Fourth Proportional to 107.29, 147.93 and 88.86

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Solution

The fourth proportional to 107.29, 147.93 and 88.86 is: 122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.29 : 147.93 = 88.86 : x
  2. Step 2: Convert to fraction form
    107.29/147.93 = 88.86/x
  3. Step 3: Cross multiply
    107.29x = 147.93 × 88.86
  4. Step 4: Simplify right side
    107.29x = 13,145.28
  5. Step 5: Solve for x
    x = 13,145.28/107.29
  6. Step 6: Final answer
    x = 122.52

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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.