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Finding the Fourth Proportional to 164,853.78, 227,600.43 and 126,540

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Solution

The fourth proportional to 164,853.78, 227,600.43 and 126,540 is: 174,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,853.78 : 227,600.43 = 126,540 : x
  2. Step 2: Convert to fraction form
    164,853.78/227,600.43 = 126,540/x
  3. Step 3: Cross multiply
    164,853.78x = 227,600.43 × 126,540
  4. Step 4: Simplify right side
    164,853.78x = 28,800,558,412.20
  5. Step 5: Solve for x
    x = 28,800,558,412.20/164,853.78
  6. Step 6: Final answer
    x = 174,703.66

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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.