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Finding the Fourth Proportional to 201,550.38, 302,138.91 and 89,170.98

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Solution

The fourth proportional to 201,550.38, 302,138.91 and 89,170.98 is: 133,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,550.38 : 302,138.91 = 89,170.98 : x
  2. Step 2: Convert to fraction form
    201,550.38/302,138.91 = 89,170.98/x
  3. Step 3: Cross multiply
    201,550.38x = 302,138.91 × 89,170.98
  4. Step 4: Simplify right side
    201,550.38x = 26,942,022,700.83
  5. Step 5: Solve for x
    x = 26,942,022,700.83/201,550.38
  6. Step 6: Final answer
    x = 133,673.89

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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.