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Finding the Fourth Proportional to 77.72, 116.61 and 32.10

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Solution

The fourth proportional to 77.72, 116.61 and 32.10 is: 48.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.72 : 116.61 = 32.10 : x
  2. Step 2: Convert to fraction form
    77.72/116.61 = 32.10/x
  3. Step 3: Cross multiply
    77.72x = 116.61 × 32.10
  4. Step 4: Simplify right side
    77.72x = 3,743.18
  5. Step 5: Solve for x
    x = 3,743.18/77.72
  6. Step 6: Final answer
    x = 48.17

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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.