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Finding the Fourth Proportional to 198,552.78, 297,661.70 and 86,148.27

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Solution

The fourth proportional to 198,552.78, 297,661.70 and 86,148.27 is: 129,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,552.78 : 297,661.70 = 86,148.27 : x
  2. Step 2: Convert to fraction form
    198,552.78/297,661.70 = 86,148.27/x
  3. Step 3: Cross multiply
    198,552.78x = 297,661.70 × 86,148.27
  4. Step 4: Simplify right side
    198,552.78x = 25,643,040,715.63
  5. Step 5: Solve for x
    x = 25,643,040,715.63/198,552.78
  6. Step 6: Final answer
    x = 129,149.74

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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.