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Finding the Fourth Proportional to 202,078.89, 278,753.11 and 126,496.17

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Solution

The fourth proportional to 202,078.89, 278,753.11 and 126,496.17 is: 174,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,078.89 : 278,753.11 = 126,496.17 : x
  2. Step 2: Convert to fraction form
    202,078.89/278,753.11 = 126,496.17/x
  3. Step 3: Cross multiply
    202,078.89x = 278,753.11 × 126,496.17
  4. Step 4: Simplify right side
    202,078.89x = 35,261,200,790.59
  5. Step 5: Solve for x
    x = 35,261,200,790.59/202,078.89
  6. Step 6: Final answer
    x = 174,492.25

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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.