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Finding the Fourth Proportional to 89.43, 123.39 and 52.07

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Solution

The fourth proportional to 89.43, 123.39 and 52.07 is: 71.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.43 : 123.39 = 52.07 : x
  2. Step 2: Convert to fraction form
    89.43/123.39 = 52.07/x
  3. Step 3: Cross multiply
    89.43x = 123.39 × 52.07
  4. Step 4: Simplify right side
    89.43x = 6,424.99
  5. Step 5: Solve for x
    x = 6,424.99/89.43
  6. Step 6: Final answer
    x = 71.84

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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.