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Finding the Fourth Proportional to 198,495.96, 297,576.57 and 86,091.51

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Solution

The fourth proportional to 198,495.96, 297,576.57 and 86,091.51 is: 129,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,495.96 : 297,576.57 = 86,091.51 : x
  2. Step 2: Convert to fraction form
    198,495.96/297,576.57 = 86,091.51/x
  3. Step 3: Cross multiply
    198,495.96x = 297,576.57 × 86,091.51
  4. Step 4: Simplify right side
    198,495.96x = 25,618,816,251.92
  5. Step 5: Solve for x
    x = 25,618,816,251.92/198,495.96
  6. Step 6: Final answer
    x = 129,064.67

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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.