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Finding the Fourth Proportional to 201,949.92, 278,691.12 and 117,116.28

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Solution

The fourth proportional to 201,949.92, 278,691.12 and 117,116.28 is: 161,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,949.92 : 278,691.12 = 117,116.28 : x
  2. Step 2: Convert to fraction form
    201,949.92/278,691.12 = 117,116.28/x
  3. Step 3: Cross multiply
    201,949.92x = 278,691.12 × 117,116.28
  4. Step 4: Simplify right side
    201,949.92x = 32,639,267,243.43
  5. Step 5: Solve for x
    x = 32,639,267,243.43/201,949.92
  6. Step 6: Final answer
    x = 161,620.60

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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.