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Finding the Fourth Proportional to 228,083.78, 314,742.90 and 126,103.29

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Solution

The fourth proportional to 228,083.78, 314,742.90 and 126,103.29 is: 174,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,083.78 : 314,742.90 = 126,103.29 : x
  2. Step 2: Convert to fraction form
    228,083.78/314,742.90 = 126,103.29/x
  3. Step 3: Cross multiply
    228,083.78x = 314,742.90 × 126,103.29
  4. Step 4: Simplify right side
    228,083.78x = 39,690,115,194.14
  5. Step 5: Solve for x
    x = 39,690,115,194.14/228,083.78
  6. Step 6: Final answer
    x = 174,015.51

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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.