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Finding the Fourth Proportional to 761,107.50, 1,141,728.68 and 200,142

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Solution

The fourth proportional to 761,107.50, 1,141,728.68 and 200,142 is: 300,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,107.50 : 1,141,728.68 = 200,142 : x
  2. Step 2: Convert to fraction form
    761,107.50/1,141,728.68 = 200,142/x
  3. Step 3: Cross multiply
    761,107.50x = 1,141,728.68 × 200,142
  4. Step 4: Simplify right side
    761,107.50x = 228,507,861,972.92
  5. Step 5: Solve for x
    x = 228,507,861,972.92/761,107.50
  6. Step 6: Final answer
    x = 300,230.73

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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.