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Finding the Fourth Proportional to 201,732.80, 278,131.11 and 165,298.79

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Solution

The fourth proportional to 201,732.80, 278,131.11 and 165,298.79 is: 227,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,732.80 : 278,131.11 = 165,298.79 : x
  2. Step 2: Convert to fraction form
    201,732.80/278,131.11 = 165,298.79/x
  3. Step 3: Cross multiply
    201,732.80x = 278,131.11 × 165,298.79
  4. Step 4: Simplify right side
    201,732.80x = 45,974,735,944.36
  5. Step 5: Solve for x
    x = 45,974,735,944.36/201,732.80
  6. Step 6: Final answer
    x = 227,899.16

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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.