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Finding the Fourth Proportional to 159,145.39, 238,721.05 and 127,408.04

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Solution

The fourth proportional to 159,145.39, 238,721.05 and 127,408.04 is: 191,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,145.39 : 238,721.05 = 127,408.04 : x
  2. Step 2: Convert to fraction form
    159,145.39/238,721.05 = 127,408.04/x
  3. Step 3: Cross multiply
    159,145.39x = 238,721.05 × 127,408.04
  4. Step 4: Simplify right side
    159,145.39x = 30,414,979,893.64
  5. Step 5: Solve for x
    x = 30,414,979,893.64/159,145.39
  6. Step 6: Final answer
    x = 191,114.43

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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.