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Finding the Fourth Proportional to 276,874.92, 415,408.70 and 87,364.52

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Solution

The fourth proportional to 276,874.92, 415,408.70 and 87,364.52 is: 131,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,874.92 : 415,408.70 = 87,364.52 : x
  2. Step 2: Convert to fraction form
    276,874.92/415,408.70 = 87,364.52/x
  3. Step 3: Cross multiply
    276,874.92x = 415,408.70 × 87,364.52
  4. Step 4: Simplify right side
    276,874.92x = 36,291,981,679.32
  5. Step 5: Solve for x
    x = 36,291,981,679.32/276,874.92
  6. Step 6: Final answer
    x = 131,077.17

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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.