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Finding the Fourth Proportional to 107.90, 147.71 and 104.41

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Solution

The fourth proportional to 107.90, 147.71 and 104.41 is: 142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.90 : 147.71 = 104.41 : x
  2. Step 2: Convert to fraction form
    107.90/147.71 = 104.41/x
  3. Step 3: Cross multiply
    107.90x = 147.71 × 104.41
  4. Step 4: Simplify right side
    107.90x = 15,421.43
  5. Step 5: Solve for x
    x = 15,421.43/107.90
  6. Step 6: Final answer
    x = 142.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.