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Finding the Fourth Proportional to 206,562, 285,055.56 and 117,138

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Solution

The fourth proportional to 206,562, 285,055.56 and 117,138 is: 161,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,562 : 285,055.56 = 117,138 : x
  2. Step 2: Convert to fraction form
    206,562/285,055.56 = 117,138/x
  3. Step 3: Cross multiply
    206,562x = 285,055.56 × 117,138
  4. Step 4: Simplify right side
    206,562x = 33,390,838,187.28
  5. Step 5: Solve for x
    x = 33,390,838,187.28/206,562
  6. Step 6: Final answer
    x = 161,650.44

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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.