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Finding the Fourth Proportional to 251,996.70, 378,031.98 and 92,080.50

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Solution

The fourth proportional to 251,996.70, 378,031.98 and 92,080.50 is: 138,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,996.70 : 378,031.98 = 92,080.50 : x
  2. Step 2: Convert to fraction form
    251,996.70/378,031.98 = 92,080.50/x
  3. Step 3: Cross multiply
    251,996.70x = 378,031.98 × 92,080.50
  4. Step 4: Simplify right side
    251,996.70x = 34,809,373,734.39
  5. Step 5: Solve for x
    x = 34,809,373,734.39/251,996.70
  6. Step 6: Final answer
    x = 138,134.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.