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Finding the Fourth Proportional to 89,678.40, 134,512.72 and 27,344

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Solution

The fourth proportional to 89,678.40, 134,512.72 and 27,344 is: 41,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,678.40 : 134,512.72 = 27,344 : x
  2. Step 2: Convert to fraction form
    89,678.40/134,512.72 = 27,344/x
  3. Step 3: Cross multiply
    89,678.40x = 134,512.72 × 27,344
  4. Step 4: Simplify right side
    89,678.40x = 3,678,115,815.68
  5. Step 5: Solve for x
    x = 3,678,115,815.68/89,678.40
  6. Step 6: Final answer
    x = 41,014.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.