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Finding the Fourth Proportional to 89.85, 123.94 and 57.13

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Solution

The fourth proportional to 89.85, 123.94 and 57.13 is: 78.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.85 : 123.94 = 57.13 : x
  2. Step 2: Convert to fraction form
    89.85/123.94 = 57.13/x
  3. Step 3: Cross multiply
    89.85x = 123.94 × 57.13
  4. Step 4: Simplify right side
    89.85x = 7,080.45
  5. Step 5: Solve for x
    x = 7,080.45/89.85
  6. Step 6: Final answer
    x = 78.80

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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.