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Finding the Fourth Proportional to 201,856.08, 278,548.02 and 121,287

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Solution

The fourth proportional to 201,856.08, 278,548.02 and 121,287 is: 167,368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,856.08 : 278,548.02 = 121,287 : x
  2. Step 2: Convert to fraction form
    201,856.08/278,548.02 = 121,287/x
  3. Step 3: Cross multiply
    201,856.08x = 278,548.02 × 121,287
  4. Step 4: Simplify right side
    201,856.08x = 33,784,253,701.74
  5. Step 5: Solve for x
    x = 33,784,253,701.74/201,856.08
  6. Step 6: Final answer
    x = 167,368.03

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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.