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Finding the Fourth Proportional to 200,898.78, 301,355.67 and 51,142.56

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Solution

The fourth proportional to 200,898.78, 301,355.67 and 51,142.56 is: 76,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,898.78 : 301,355.67 = 51,142.56 : x
  2. Step 2: Convert to fraction form
    200,898.78/301,355.67 = 51,142.56/x
  3. Step 3: Cross multiply
    200,898.78x = 301,355.67 × 51,142.56
  4. Step 4: Simplify right side
    200,898.78x = 15,412,100,434.32
  5. Step 5: Solve for x
    x = 15,412,100,434.32/200,898.78
  6. Step 6: Final answer
    x = 76,715.75

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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.