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Finding the Fourth Proportional to 206,955.48, 285,372.54 and 139,770.84

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Solution

The fourth proportional to 206,955.48, 285,372.54 and 139,770.84 is: 192,731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,955.48 : 285,372.54 = 139,770.84 : x
  2. Step 2: Convert to fraction form
    206,955.48/285,372.54 = 139,770.84/x
  3. Step 3: Cross multiply
    206,955.48x = 285,372.54 × 139,770.84
  4. Step 4: Simplify right side
    206,955.48x = 39,886,759,628.73
  5. Step 5: Solve for x
    x = 39,886,759,628.73/206,955.48
  6. Step 6: Final answer
    x = 192,731.11

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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.