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Finding the Fourth Proportional to 251,396.49, 346,927.13 and 138,219.24

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Solution

The fourth proportional to 251,396.49, 346,927.13 and 138,219.24 is: 190,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,396.49 : 346,927.13 = 138,219.24 : x
  2. Step 2: Convert to fraction form
    251,396.49/346,927.13 = 138,219.24/x
  3. Step 3: Cross multiply
    251,396.49x = 346,927.13 × 138,219.24
  4. Step 4: Simplify right side
    251,396.49x = 47,952,002,056.24
  5. Step 5: Solve for x
    x = 47,952,002,056.24/251,396.49
  6. Step 6: Final answer
    x = 190,742.53

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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.