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Finding the Fourth Proportional to 75.72, 104.49 and 46.61

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Solution

The fourth proportional to 75.72, 104.49 and 46.61 is: 64.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.72 : 104.49 = 46.61 : x
  2. Step 2: Convert to fraction form
    75.72/104.49 = 46.61/x
  3. Step 3: Cross multiply
    75.72x = 104.49 × 46.61
  4. Step 4: Simplify right side
    75.72x = 4,869.76
  5. Step 5: Solve for x
    x = 4,869.76/75.72
  6. Step 6: Final answer
    x = 64.31

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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.