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Finding the Fourth Proportional to 107.40, 148.38 and 98.76

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Solution

The fourth proportional to 107.40, 148.38 and 98.76 is: 136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.40 : 148.38 = 98.76 : x
  2. Step 2: Convert to fraction form
    107.40/148.38 = 98.76/x
  3. Step 3: Cross multiply
    107.40x = 148.38 × 98.76
  4. Step 4: Simplify right side
    107.40x = 14,654.01
  5. Step 5: Solve for x
    x = 14,654.01/107.40
  6. Step 6: Final answer
    x = 136.44

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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.