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Finding the Fourth Proportional to 91.83, 138.06 and 51.33

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Solution

The fourth proportional to 91.83, 138.06 and 51.33 is: 77.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.83 : 138.06 = 51.33 : x
  2. Step 2: Convert to fraction form
    91.83/138.06 = 51.33/x
  3. Step 3: Cross multiply
    91.83x = 138.06 × 51.33
  4. Step 4: Simplify right side
    91.83x = 7,086.62
  5. Step 5: Solve for x
    x = 7,086.62/91.83
  6. Step 6: Final answer
    x = 77.17

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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.