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Finding the Fourth Proportional to 198,662.50, 274,154.25 and 109,238.50

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Solution

The fourth proportional to 198,662.50, 274,154.25 and 109,238.50 is: 150,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,662.50 : 274,154.25 = 109,238.50 : x
  2. Step 2: Convert to fraction form
    198,662.50/274,154.25 = 109,238.50/x
  3. Step 3: Cross multiply
    198,662.50x = 274,154.25 × 109,238.50
  4. Step 4: Simplify right side
    198,662.50x = 29,948,199,038.63
  5. Step 5: Solve for x
    x = 29,948,199,038.63/198,662.50
  6. Step 6: Final answer
    x = 150,749.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.