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Finding the Fourth Proportional to 140.95, 194.53 and 85.70

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Solution

The fourth proportional to 140.95, 194.53 and 85.70 is: 118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.95 : 194.53 = 85.70 : x
  2. Step 2: Convert to fraction form
    140.95/194.53 = 85.70/x
  3. Step 3: Cross multiply
    140.95x = 194.53 × 85.70
  4. Step 4: Simplify right side
    140.95x = 16,671.49
  5. Step 5: Solve for x
    x = 16,671.49/140.95
  6. Step 6: Final answer
    x = 118.28

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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.