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Finding the Fourth Proportional to 206,966, 285,613.44 and 117,542

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Solution

The fourth proportional to 206,966, 285,613.44 and 117,542 is: 162,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,966 : 285,613.44 = 117,542 : x
  2. Step 2: Convert to fraction form
    206,966/285,613.44 = 117,542/x
  3. Step 3: Cross multiply
    206,966x = 285,613.44 × 117,542
  4. Step 4: Simplify right side
    206,966x = 33,571,574,964.48
  5. Step 5: Solve for x
    x = 33,571,574,964.48/206,966
  6. Step 6: Final answer
    x = 162,208.16

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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.