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Finding the Fourth Proportional to 198,722.60, 298,136.70 and 86,354.60

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Solution

The fourth proportional to 198,722.60, 298,136.70 and 86,354.60 is: 129,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,722.60 : 298,136.70 = 86,354.60 : x
  2. Step 2: Convert to fraction form
    198,722.60/298,136.70 = 86,354.60/x
  3. Step 3: Cross multiply
    198,722.60x = 298,136.70 × 86,354.60
  4. Step 4: Simplify right side
    198,722.60x = 25,745,475,473.82
  5. Step 5: Solve for x
    x = 25,745,475,473.82/198,722.60
  6. Step 6: Final answer
    x = 129,554.84

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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.