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Finding the Fourth Proportional to 89.81, 123.90 and 57.03

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Solution

The fourth proportional to 89.81, 123.90 and 57.03 is: 78.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.81 : 123.90 = 57.03 : x
  2. Step 2: Convert to fraction form
    89.81/123.90 = 57.03/x
  3. Step 3: Cross multiply
    89.81x = 123.90 × 57.03
  4. Step 4: Simplify right side
    89.81x = 7,066.02
  5. Step 5: Solve for x
    x = 7,066.02/89.81
  6. Step 6: Final answer
    x = 78.68

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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.