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Finding the Fourth Proportional to 198,496.37, 297,743.85 and 86,161.93

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Solution

The fourth proportional to 198,496.37, 297,743.85 and 86,161.93 is: 129,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,496.37 : 297,743.85 = 86,161.93 : x
  2. Step 2: Convert to fraction form
    198,496.37/297,743.85 = 86,161.93/x
  3. Step 3: Cross multiply
    198,496.37x = 297,743.85 × 86,161.93
  4. Step 4: Simplify right side
    198,496.37x = 25,654,184,017.27
  5. Step 5: Solve for x
    x = 25,654,184,017.27/198,496.37
  6. Step 6: Final answer
    x = 129,242.58

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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.