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Finding the Fourth Proportional to 205,193.78, 307,657.42 and 85,217.79

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Solution

The fourth proportional to 205,193.78, 307,657.42 and 85,217.79 is: 127,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,193.78 : 307,657.42 = 85,217.79 : x
  2. Step 2: Convert to fraction form
    205,193.78/307,657.42 = 85,217.79/x
  3. Step 3: Cross multiply
    205,193.78x = 307,657.42 × 85,217.79
  4. Step 4: Simplify right side
    205,193.78x = 26,217,885,409.50
  5. Step 5: Solve for x
    x = 26,217,885,409.50/205,193.78
  6. Step 6: Final answer
    x = 127,771.35

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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.