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Finding the Fourth Proportional to 273,061, 409,660.64 and 76,069

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Solution

The fourth proportional to 273,061, 409,660.64 and 76,069 is: 114,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,061 : 409,660.64 = 76,069 : x
  2. Step 2: Convert to fraction form
    273,061/409,660.64 = 76,069/x
  3. Step 3: Cross multiply
    273,061x = 409,660.64 × 76,069
  4. Step 4: Simplify right side
    273,061x = 31,162,475,224.16
  5. Step 5: Solve for x
    x = 31,162,475,224.16/273,061
  6. Step 6: Final answer
    x = 114,122.76

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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.