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Finding the Fourth Proportional to 94.01, 140.92 and 45.19

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Solution

The fourth proportional to 94.01, 140.92 and 45.19 is: 67.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.01 : 140.92 = 45.19 : x
  2. Step 2: Convert to fraction form
    94.01/140.92 = 45.19/x
  3. Step 3: Cross multiply
    94.01x = 140.92 × 45.19
  4. Step 4: Simplify right side
    94.01x = 6,368.17
  5. Step 5: Solve for x
    x = 6,368.17/94.01
  6. Step 6: Final answer
    x = 67.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.