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Finding the Fourth Proportional to 89,198.70, 133,798.05 and 30,029.42

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Solution

The fourth proportional to 89,198.70, 133,798.05 and 30,029.42 is: 45,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,198.70 : 133,798.05 = 30,029.42 : x
  2. Step 2: Convert to fraction form
    89,198.70/133,798.05 = 30,029.42/x
  3. Step 3: Cross multiply
    89,198.70x = 133,798.05 × 30,029.42
  4. Step 4: Simplify right side
    89,198.70x = 4,017,877,169.64
  5. Step 5: Solve for x
    x = 4,017,877,169.64/89,198.70
  6. Step 6: Final answer
    x = 45,044.12

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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.