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Finding the Fourth Proportional to 154,189.44, 212,764.32 and 87,121.44

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Solution

The fourth proportional to 154,189.44, 212,764.32 and 87,121.44 is: 120,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,189.44 : 212,764.32 = 87,121.44 : x
  2. Step 2: Convert to fraction form
    154,189.44/212,764.32 = 87,121.44/x
  3. Step 3: Cross multiply
    154,189.44x = 212,764.32 × 87,121.44
  4. Step 4: Simplify right side
    154,189.44x = 18,536,333,939.02
  5. Step 5: Solve for x
    x = 18,536,333,939.02/154,189.44
  6. Step 6: Final answer
    x = 120,217.92

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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.