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Finding the Fourth Proportional to 89,198.40, 133,776 and 30,018.72

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Solution

The fourth proportional to 89,198.40, 133,776 and 30,018.72 is: 45,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,198.40 : 133,776 = 30,018.72 : x
  2. Step 2: Convert to fraction form
    89,198.40/133,776 = 30,018.72/x
  3. Step 3: Cross multiply
    89,198.40x = 133,776 × 30,018.72
  4. Step 4: Simplify right side
    89,198.40x = 4,015,784,286.72
  5. Step 5: Solve for x
    x = 4,015,784,286.72/89,198.40
  6. Step 6: Final answer
    x = 45,020.81

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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.