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Finding the Fourth Proportional to 89.32, 123.23 and 56.56

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Solution

The fourth proportional to 89.32, 123.23 and 56.56 is: 78.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.32 : 123.23 = 56.56 : x
  2. Step 2: Convert to fraction form
    89.32/123.23 = 56.56/x
  3. Step 3: Cross multiply
    89.32x = 123.23 × 56.56
  4. Step 4: Simplify right side
    89.32x = 6,969.89
  5. Step 5: Solve for x
    x = 6,969.89/89.32
  6. Step 6: Final answer
    x = 78.03

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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.