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Finding the Fourth Proportional to 234,043.08, 322,978.12 and 126,612.80

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Solution

The fourth proportional to 234,043.08, 322,978.12 and 126,612.80 is: 174,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,043.08 : 322,978.12 = 126,612.80 : x
  2. Step 2: Convert to fraction form
    234,043.08/322,978.12 = 126,612.80/x
  3. Step 3: Cross multiply
    234,043.08x = 322,978.12 × 126,612.80
  4. Step 4: Simplify right side
    234,043.08x = 40,893,164,111.94
  5. Step 5: Solve for x
    x = 40,893,164,111.94/234,043.08
  6. Step 6: Final answer
    x = 174,724.94

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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.