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Finding the Fourth Proportional to 198,486.72, 297,729.61 and 86,152.37

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Solution

The fourth proportional to 198,486.72, 297,729.61 and 86,152.37 is: 129,228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,486.72 : 297,729.61 = 86,152.37 : x
  2. Step 2: Convert to fraction form
    198,486.72/297,729.61 = 86,152.37/x
  3. Step 3: Cross multiply
    198,486.72x = 297,729.61 × 86,152.37
  4. Step 4: Simplify right side
    198,486.72x = 25,650,109,816.65
  5. Step 5: Solve for x
    x = 25,650,109,816.65/198,486.72
  6. Step 6: Final answer
    x = 129,228.34

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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.