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Finding the Fourth Proportional to 201,681.92, 278,317.12 and 126,272

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Solution

The fourth proportional to 201,681.92, 278,317.12 and 126,272 is: 174,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,681.92 : 278,317.12 = 126,272 : x
  2. Step 2: Convert to fraction form
    201,681.92/278,317.12 = 126,272/x
  3. Step 3: Cross multiply
    201,681.92x = 278,317.12 × 126,272
  4. Step 4: Simplify right side
    201,681.92x = 35,143,659,376.64
  5. Step 5: Solve for x
    x = 35,143,659,376.64/201,681.92
  6. Step 6: Final answer
    x = 174,252.90

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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.