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Finding the Fourth Proportional to 89,228.70, 133,729.65 and 36,578.70

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Solution

The fourth proportional to 89,228.70, 133,729.65 and 36,578.70 is: 54,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,228.70 : 133,729.65 = 36,578.70 : x
  2. Step 2: Convert to fraction form
    89,228.70/133,729.65 = 36,578.70/x
  3. Step 3: Cross multiply
    89,228.70x = 133,729.65 × 36,578.70
  4. Step 4: Simplify right side
    89,228.70x = 4,891,656,748.46
  5. Step 5: Solve for x
    x = 4,891,656,748.46/89,228.70
  6. Step 6: Final answer
    x = 54,821.56

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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.