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Finding the Fourth Proportional to 107.22, 148.71 and 101.70

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Solution

The fourth proportional to 107.22, 148.71 and 101.70 is: 141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.22 : 148.71 = 101.70 : x
  2. Step 2: Convert to fraction form
    107.22/148.71 = 101.70/x
  3. Step 3: Cross multiply
    107.22x = 148.71 × 101.70
  4. Step 4: Simplify right side
    107.22x = 15,123.81
  5. Step 5: Solve for x
    x = 15,123.81/107.22
  6. Step 6: Final answer
    x = 141.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.