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Finding the Fourth Proportional to 94.30, 140.68 and 86.14

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Solution

The fourth proportional to 94.30, 140.68 and 86.14 is: 128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.30 : 140.68 = 86.14 : x
  2. Step 2: Convert to fraction form
    94.30/140.68 = 86.14/x
  3. Step 3: Cross multiply
    94.30x = 140.68 × 86.14
  4. Step 4: Simplify right side
    94.30x = 12,117.74
  5. Step 5: Solve for x
    x = 12,117.74/94.30
  6. Step 6: Final answer
    x = 128.50

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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.