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Finding the Fourth Proportional to 154,876, 213,731.12 and 90,343.44

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Solution

The fourth proportional to 154,876, 213,731.12 and 90,343.44 is: 124,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,876 : 213,731.12 = 90,343.44 : x
  2. Step 2: Convert to fraction form
    154,876/213,731.12 = 90,343.44/x
  3. Step 3: Cross multiply
    154,876x = 213,731.12 × 90,343.44
  4. Step 4: Simplify right side
    154,876x = 19,309,204,615.85
  5. Step 5: Solve for x
    x = 19,309,204,615.85/154,876
  6. Step 6: Final answer
    x = 124,675.25

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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.