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Finding the Fourth Proportional to 198,507.35, 297,593.56 and 86,102.94

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Solution

The fourth proportional to 198,507.35, 297,593.56 and 86,102.94 is: 129,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,507.35 : 297,593.56 = 86,102.94 : x
  2. Step 2: Convert to fraction form
    198,507.35/297,593.56 = 86,102.94/x
  3. Step 3: Cross multiply
    198,507.35x = 297,593.56 × 86,102.94
  4. Step 4: Simplify right side
    198,507.35x = 25,623,680,441.07
  5. Step 5: Solve for x
    x = 25,623,680,441.07/198,507.35
  6. Step 6: Final answer
    x = 129,081.77

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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.