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Finding the Fourth Proportional to 276,610.72, 414,811.68 and 89,572

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Solution

The fourth proportional to 276,610.72, 414,811.68 and 89,572 is: 134,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,610.72 : 414,811.68 = 89,572 : x
  2. Step 2: Convert to fraction form
    276,610.72/414,811.68 = 89,572/x
  3. Step 3: Cross multiply
    276,610.72x = 414,811.68 × 89,572
  4. Step 4: Simplify right side
    276,610.72x = 37,155,511,800.96
  5. Step 5: Solve for x
    x = 37,155,511,800.96/276,610.72
  6. Step 6: Final answer
    x = 134,324.19

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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.