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Finding the Fourth Proportional to 89.11, 122.90 and 65.83

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Solution

The fourth proportional to 89.11, 122.90 and 65.83 is: 90.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.11 : 122.90 = 65.83 : x
  2. Step 2: Convert to fraction form
    89.11/122.90 = 65.83/x
  3. Step 3: Cross multiply
    89.11x = 122.90 × 65.83
  4. Step 4: Simplify right side
    89.11x = 8,090.18
  5. Step 5: Solve for x
    x = 8,090.18/89.11
  6. Step 6: Final answer
    x = 90.79

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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.