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Finding the Fourth Proportional to 159,408.72, 219,975.24 and 87,774.74

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Solution

The fourth proportional to 159,408.72, 219,975.24 and 87,774.74 is: 121,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,408.72 : 219,975.24 = 87,774.74 : x
  2. Step 2: Convert to fraction form
    159,408.72/219,975.24 = 87,774.74/x
  3. Step 3: Cross multiply
    159,408.72x = 219,975.24 × 87,774.74
  4. Step 4: Simplify right side
    159,408.72x = 19,308,269,497.44
  5. Step 5: Solve for x
    x = 19,308,269,497.44/159,408.72
  6. Step 6: Final answer
    x = 121,124.30

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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.