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Finding the Fourth Proportional to 200,778.76, 300,989.46 and 76,207.24

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Solution

The fourth proportional to 200,778.76, 300,989.46 and 76,207.24 is: 114,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,778.76 : 300,989.46 = 76,207.24 : x
  2. Step 2: Convert to fraction form
    200,778.76/300,989.46 = 76,207.24/x
  3. Step 3: Cross multiply
    200,778.76x = 300,989.46 × 76,207.24
  4. Step 4: Simplify right side
    200,778.76x = 22,937,576,015.69
  5. Step 5: Solve for x
    x = 22,937,576,015.69/200,778.76
  6. Step 6: Final answer
    x = 114,243.04

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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.