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Finding the Fourth Proportional to 276,155.72, 414,234.56 and 84,032

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Solution

The fourth proportional to 276,155.72, 414,234.56 and 84,032 is: 126,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,155.72 : 414,234.56 = 84,032 : x
  2. Step 2: Convert to fraction form
    276,155.72/414,234.56 = 84,032/x
  3. Step 3: Cross multiply
    276,155.72x = 414,234.56 × 84,032
  4. Step 4: Simplify right side
    276,155.72x = 34,808,958,545.92
  5. Step 5: Solve for x
    x = 34,808,958,545.92/276,155.72
  6. Step 6: Final answer
    x = 126,048.30

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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.