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Finding the Fourth Proportional to 107.22, 147.93 and 76.21

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Solution

The fourth proportional to 107.22, 147.93 and 76.21 is: 105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.22 : 147.93 = 76.21 : x
  2. Step 2: Convert to fraction form
    107.22/147.93 = 76.21/x
  3. Step 3: Cross multiply
    107.22x = 147.93 × 76.21
  4. Step 4: Simplify right side
    107.22x = 11,273.09
  5. Step 5: Solve for x
    x = 11,273.09/107.22
  6. Step 6: Final answer
    x = 105.14

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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.