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Finding the Fourth Proportional to 276,942.48, 415,488.08 and 87,410.16

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Solution

The fourth proportional to 276,942.48, 415,488.08 and 87,410.16 is: 131,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,942.48 : 415,488.08 = 87,410.16 : x
  2. Step 2: Convert to fraction form
    276,942.48/415,488.08 = 87,410.16/x
  3. Step 3: Cross multiply
    276,942.48x = 415,488.08 × 87,410.16
  4. Step 4: Simplify right side
    276,942.48x = 36,317,879,550.89
  5. Step 5: Solve for x
    x = 36,317,879,550.89/276,942.48
  6. Step 6: Final answer
    x = 131,138.71

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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.