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Finding the Fourth Proportional to 75.97, 104.70 and 62.11

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Solution

The fourth proportional to 75.97, 104.70 and 62.11 is: 85.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.97 : 104.70 = 62.11 : x
  2. Step 2: Convert to fraction form
    75.97/104.70 = 62.11/x
  3. Step 3: Cross multiply
    75.97x = 104.70 × 62.11
  4. Step 4: Simplify right side
    75.97x = 6,502.92
  5. Step 5: Solve for x
    x = 6,502.92/75.97
  6. Step 6: Final answer
    x = 85.60

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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.