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Finding the Fourth Proportional to 205,770.42, 308,711.09 and 85,787.49

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Solution

The fourth proportional to 205,770.42, 308,711.09 and 85,787.49 is: 128,704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,770.42 : 308,711.09 = 85,787.49 : x
  2. Step 2: Convert to fraction form
    205,770.42/308,711.09 = 85,787.49/x
  3. Step 3: Cross multiply
    205,770.42x = 308,711.09 × 85,787.49
  4. Step 4: Simplify right side
    205,770.42x = 26,483,549,760.73
  5. Step 5: Solve for x
    x = 26,483,549,760.73/205,770.42
  6. Step 6: Final answer
    x = 128,704.36

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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.