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Finding the Fourth Proportional to 251,395.82, 346,926.23 and 138,218.57

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Solution

The fourth proportional to 251,395.82, 346,926.23 and 138,218.57 is: 190,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,395.82 : 346,926.23 = 138,218.57 : x
  2. Step 2: Convert to fraction form
    251,395.82/346,926.23 = 138,218.57/x
  3. Step 3: Cross multiply
    251,395.82x = 346,926.23 × 138,218.57
  4. Step 4: Simplify right side
    251,395.82x = 47,951,646,017.01
  5. Step 5: Solve for x
    x = 47,951,646,017.01/251,395.82
  6. Step 6: Final answer
    x = 190,741.62

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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.