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Finding the Fourth Proportional to 88,078.56, 131,786.76 and 52,408.56

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Solution

The fourth proportional to 88,078.56, 131,786.76 and 52,408.56 is: 78,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,078.56 : 131,786.76 = 52,408.56 : x
  2. Step 2: Convert to fraction form
    88,078.56/131,786.76 = 52,408.56/x
  3. Step 3: Cross multiply
    88,078.56x = 131,786.76 × 52,408.56
  4. Step 4: Simplify right side
    88,078.56x = 6,906,754,318.67
  5. Step 5: Solve for x
    x = 6,906,754,318.67/88,078.56
  6. Step 6: Final answer
    x = 78,415.84

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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.