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Finding the Fourth Proportional to 140.53, 193.85 and 88.69

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Solution

The fourth proportional to 140.53, 193.85 and 88.69 is: 122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.53 : 193.85 = 88.69 : x
  2. Step 2: Convert to fraction form
    140.53/193.85 = 88.69/x
  3. Step 3: Cross multiply
    140.53x = 193.85 × 88.69
  4. Step 4: Simplify right side
    140.53x = 17,191.63
  5. Step 5: Solve for x
    x = 17,191.63/140.53
  6. Step 6: Final answer
    x = 122.34

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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.