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Finding the Fourth Proportional to 107.20, 148.02 and 79.87

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Solution

The fourth proportional to 107.20, 148.02 and 79.87 is: 110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.20 : 148.02 = 79.87 : x
  2. Step 2: Convert to fraction form
    107.20/148.02 = 79.87/x
  3. Step 3: Cross multiply
    107.20x = 148.02 × 79.87
  4. Step 4: Simplify right side
    107.20x = 11,822.36
  5. Step 5: Solve for x
    x = 11,822.36/107.20
  6. Step 6: Final answer
    x = 110.28

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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.