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Finding the Fourth Proportional to 252,940.10, 349,058.25 and 138,218.74

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Solution

The fourth proportional to 252,940.10, 349,058.25 and 138,218.74 is: 190,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,940.10 : 349,058.25 = 138,218.74 : x
  2. Step 2: Convert to fraction form
    252,940.10/349,058.25 = 138,218.74/x
  3. Step 3: Cross multiply
    252,940.10x = 349,058.25 × 138,218.74
  4. Step 4: Simplify right side
    252,940.10x = 48,246,392,292.25
  5. Step 5: Solve for x
    x = 48,246,392,292.25/252,940.10
  6. Step 6: Final answer
    x = 190,742.36

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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.