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Finding the Fourth Proportional to 234,151, 323,129.16 and 126,721

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Solution

The fourth proportional to 234,151, 323,129.16 and 126,721 is: 174,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,151 : 323,129.16 = 126,721 : x
  2. Step 2: Convert to fraction form
    234,151/323,129.16 = 126,721/x
  3. Step 3: Cross multiply
    234,151x = 323,129.16 × 126,721
  4. Step 4: Simplify right side
    234,151x = 40,947,250,284.36
  5. Step 5: Solve for x
    x = 40,947,250,284.36/234,151
  6. Step 6: Final answer
    x = 174,875.40

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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.