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Finding the Fourth Proportional to 94.04, 140.30 and 78.85

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Solution

The fourth proportional to 94.04, 140.30 and 78.85 is: 117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.04 : 140.30 = 78.85 : x
  2. Step 2: Convert to fraction form
    94.04/140.30 = 78.85/x
  3. Step 3: Cross multiply
    94.04x = 140.30 × 78.85
  4. Step 4: Simplify right side
    94.04x = 11,062.50
  5. Step 5: Solve for x
    x = 11,062.50/94.04
  6. Step 6: Final answer
    x = 117.64

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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.