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Finding the Fourth Proportional to 200,781, 301,188.78 and 53,037

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Solution

The fourth proportional to 200,781, 301,188.78 and 53,037 is: 79,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,781 : 301,188.78 = 53,037 : x
  2. Step 2: Convert to fraction form
    200,781/301,188.78 = 53,037/x
  3. Step 3: Cross multiply
    200,781x = 301,188.78 × 53,037
  4. Step 4: Simplify right side
    200,781x = 15,974,149,324.86
  5. Step 5: Solve for x
    x = 15,974,149,324.86/200,781
  6. Step 6: Final answer
    x = 79,560.06

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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.