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Finding the Fourth Proportional to 77.04, 106.33 and 47.91

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Solution

The fourth proportional to 77.04, 106.33 and 47.91 is: 66.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.04 : 106.33 = 47.91 : x
  2. Step 2: Convert to fraction form
    77.04/106.33 = 47.91/x
  3. Step 3: Cross multiply
    77.04x = 106.33 × 47.91
  4. Step 4: Simplify right side
    77.04x = 5,094.27
  5. Step 5: Solve for x
    x = 5,094.27/77.04
  6. Step 6: Final answer
    x = 66.13

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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.