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Finding the Fourth Proportional to 198,606.56, 297,741.89 and 86,202.29

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Solution

The fourth proportional to 198,606.56, 297,741.89 and 86,202.29 is: 129,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,606.56 : 297,741.89 = 86,202.29 : x
  2. Step 2: Convert to fraction form
    198,606.56/297,741.89 = 86,202.29/x
  3. Step 3: Cross multiply
    198,606.56x = 297,741.89 × 86,202.29
  4. Step 4: Simplify right side
    198,606.56x = 25,666,032,746.93
  5. Step 5: Solve for x
    x = 25,666,032,746.93/198,606.56
  6. Step 6: Final answer
    x = 129,230.54

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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.