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Finding the Fourth Proportional to 206,846.40, 285,438.42 and 114,961.41

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Solution

The fourth proportional to 206,846.40, 285,438.42 and 114,961.41 is: 158,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,846.40 : 285,438.42 = 114,961.41 : x
  2. Step 2: Convert to fraction form
    206,846.40/285,438.42 = 114,961.41/x
  3. Step 3: Cross multiply
    206,846.40x = 285,438.42 × 114,961.41
  4. Step 4: Simplify right side
    206,846.40x = 32,814,403,231.37
  5. Step 5: Solve for x
    x = 32,814,403,231.37/206,846.40
  6. Step 6: Final answer
    x = 158,641.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.