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Finding the Fourth Proportional to 94.35, 140.66 and 85.80

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Solution

The fourth proportional to 94.35, 140.66 and 85.80 is: 127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.35 : 140.66 = 85.80 : x
  2. Step 2: Convert to fraction form
    94.35/140.66 = 85.80/x
  3. Step 3: Cross multiply
    94.35x = 140.66 × 85.80
  4. Step 4: Simplify right side
    94.35x = 12,068.84
  5. Step 5: Solve for x
    x = 12,068.84/94.35
  6. Step 6: Final answer
    x = 127.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.