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Finding the Fourth Proportional to 140.42, 193.71 and 88.70

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Solution

The fourth proportional to 140.42, 193.71 and 88.70 is: 122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.42 : 193.71 = 88.70 : x
  2. Step 2: Convert to fraction form
    140.42/193.71 = 88.70/x
  3. Step 3: Cross multiply
    140.42x = 193.71 × 88.70
  4. Step 4: Simplify right side
    140.42x = 17,182.08
  5. Step 5: Solve for x
    x = 17,182.08/140.42
  6. Step 6: Final answer
    x = 122.36

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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.