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Finding the Fourth Proportional to 198,025.71, 296,732.79 and 133,731.87

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Solution

The fourth proportional to 198,025.71, 296,732.79 and 133,731.87 is: 200,391.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,025.71 : 296,732.79 = 133,731.87 : x
  2. Step 2: Convert to fraction form
    198,025.71/296,732.79 = 133,731.87/x
  3. Step 3: Cross multiply
    198,025.71x = 296,732.79 × 133,731.87
  4. Step 4: Simplify right side
    198,025.71x = 39,682,630,897.02
  5. Step 5: Solve for x
    x = 39,682,630,897.02/198,025.71
  6. Step 6: Final answer
    x = 200,391.31

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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.