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Finding the Fourth Proportional to 89,821.38, 134,658.99 and 33,630

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Solution

The fourth proportional to 89,821.38, 134,658.99 and 33,630 is: 50,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,821.38 : 134,658.99 = 33,630 : x
  2. Step 2: Convert to fraction form
    89,821.38/134,658.99 = 33,630/x
  3. Step 3: Cross multiply
    89,821.38x = 134,658.99 × 33,630
  4. Step 4: Simplify right side
    89,821.38x = 4,528,581,833.70
  5. Step 5: Solve for x
    x = 4,528,581,833.70/89,821.38
  6. Step 6: Final answer
    x = 50,417.64

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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.