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Finding the Fourth Proportional to 94.82, 130.75 and 78.21

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Solution

The fourth proportional to 94.82, 130.75 and 78.21 is: 107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.82 : 130.75 = 78.21 : x
  2. Step 2: Convert to fraction form
    94.82/130.75 = 78.21/x
  3. Step 3: Cross multiply
    94.82x = 130.75 × 78.21
  4. Step 4: Simplify right side
    94.82x = 10,225.76
  5. Step 5: Solve for x
    x = 10,225.76/94.82
  6. Step 6: Final answer
    x = 107.85

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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.