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Finding the Fourth Proportional to 159,408.56, 239,138.76 and 54,216.56

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Solution

The fourth proportional to 159,408.56, 239,138.76 and 54,216.56 is: 81,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,408.56 : 239,138.76 = 54,216.56 : x
  2. Step 2: Convert to fraction form
    159,408.56/239,138.76 = 54,216.56/x
  3. Step 3: Cross multiply
    159,408.56x = 239,138.76 × 54,216.56
  4. Step 4: Simplify right side
    159,408.56x = 12,965,280,929.87
  5. Step 5: Solve for x
    x = 12,965,280,929.87/159,408.56
  6. Step 6: Final answer
    x = 81,333.66

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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.