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Finding the Fourth Proportional to 198,509.84, 297,597.31 and 86,105.44

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Solution

The fourth proportional to 198,509.84, 297,597.31 and 86,105.44 is: 129,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,509.84 : 297,597.31 = 86,105.44 : x
  2. Step 2: Convert to fraction form
    198,509.84/297,597.31 = 86,105.44/x
  3. Step 3: Cross multiply
    198,509.84x = 297,597.31 × 86,105.44
  4. Step 4: Simplify right side
    198,509.84x = 25,624,747,320.37
  5. Step 5: Solve for x
    x = 25,624,747,320.37/198,509.84
  6. Step 6: Final answer
    x = 129,085.53

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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.