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Finding the Fourth Proportional to 201,821.92, 278,514.28 and 116,988.20

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Solution

The fourth proportional to 201,821.92, 278,514.28 and 116,988.20 is: 161,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,821.92 : 278,514.28 = 116,988.20 : x
  2. Step 2: Convert to fraction form
    201,821.92/278,514.28 = 116,988.20/x
  3. Step 3: Cross multiply
    201,821.92x = 278,514.28 × 116,988.20
  4. Step 4: Simplify right side
    201,821.92x = 32,582,884,291.50
  5. Step 5: Solve for x
    x = 32,582,884,291.50/201,821.92
  6. Step 6: Final answer
    x = 161,443.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.