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Finding the Fourth Proportional to 89.02, 122.83 and 54.07

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Solution

The fourth proportional to 89.02, 122.83 and 54.07 is: 74.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.02 : 122.83 = 54.07 : x
  2. Step 2: Convert to fraction form
    89.02/122.83 = 54.07/x
  3. Step 3: Cross multiply
    89.02x = 122.83 × 54.07
  4. Step 4: Simplify right side
    89.02x = 6,641.42
  5. Step 5: Solve for x
    x = 6,641.42/89.02
  6. Step 6: Final answer
    x = 74.61

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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.