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Finding the Fourth Proportional to 68.90, 94.96 and 61.94

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Solution

The fourth proportional to 68.90, 94.96 and 61.94 is: 85.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.90 : 94.96 = 61.94 : x
  2. Step 2: Convert to fraction form
    68.90/94.96 = 61.94/x
  3. Step 3: Cross multiply
    68.90x = 94.96 × 61.94
  4. Step 4: Simplify right side
    68.90x = 5,881.82
  5. Step 5: Solve for x
    x = 5,881.82/68.90
  6. Step 6: Final answer
    x = 85.37

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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.