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Finding the Fourth Proportional to 107.78, 148.61 and 101.99

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Solution

The fourth proportional to 107.78, 148.61 and 101.99 is: 140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.78 : 148.61 = 101.99 : x
  2. Step 2: Convert to fraction form
    107.78/148.61 = 101.99/x
  3. Step 3: Cross multiply
    107.78x = 148.61 × 101.99
  4. Step 4: Simplify right side
    107.78x = 15,155.48
  5. Step 5: Solve for x
    x = 15,155.48/107.78
  6. Step 6: Final answer
    x = 140.62

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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.