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Finding the Fourth Proportional to 251,090.82, 378,121.10 and 181,456.74

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Solution

The fourth proportional to 251,090.82, 378,121.10 and 181,456.74 is: 273,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,090.82 : 378,121.10 = 181,456.74 : x
  2. Step 2: Convert to fraction form
    251,090.82/378,121.10 = 181,456.74/x
  3. Step 3: Cross multiply
    251,090.82x = 378,121.10 × 181,456.74
  4. Step 4: Simplify right side
    251,090.82x = 68,612,621,223.93
  5. Step 5: Solve for x
    x = 68,612,621,223.93/251,090.82
  6. Step 6: Final answer
    x = 273,258.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.