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Finding the Fourth Proportional to 206,504.96, 285,076.96 and 138,497.10

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Solution

The fourth proportional to 206,504.96, 285,076.96 and 138,497.10 is: 191,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,504.96 : 285,076.96 = 138,497.10 : x
  2. Step 2: Convert to fraction form
    206,504.96/285,076.96 = 138,497.10/x
  3. Step 3: Cross multiply
    206,504.96x = 285,076.96 × 138,497.10
  4. Step 4: Simplify right side
    206,504.96x = 39,482,332,236.82
  5. Step 5: Solve for x
    x = 39,482,332,236.82/206,504.96
  6. Step 6: Final answer
    x = 191,193.14

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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.