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Finding the Fourth Proportional to 204,829.78, 307,244.70 and 57,085.78

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Solution

The fourth proportional to 204,829.78, 307,244.70 and 57,085.78 is: 85,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,829.78 : 307,244.70 = 57,085.78 : x
  2. Step 2: Convert to fraction form
    204,829.78/307,244.70 = 57,085.78/x
  3. Step 3: Cross multiply
    204,829.78x = 307,244.70 × 57,085.78
  4. Step 4: Simplify right side
    204,829.78x = 17,539,303,350.37
  5. Step 5: Solve for x
    x = 17,539,303,350.37/204,829.78
  6. Step 6: Final answer
    x = 85,628.68

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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.