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Finding the Fourth Proportional to 272,772, 409,163.12 and 75,785.12

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Solution

The fourth proportional to 272,772, 409,163.12 and 75,785.12 is: 113,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,772 : 409,163.12 = 75,785.12 : x
  2. Step 2: Convert to fraction form
    272,772/409,163.12 = 75,785.12/x
  3. Step 3: Cross multiply
    272,772x = 409,163.12 × 75,785.12
  4. Step 4: Simplify right side
    272,772x = 31,008,476,148.77
  5. Step 5: Solve for x
    x = 31,008,476,148.77/272,772
  6. Step 6: Final answer
    x = 113,679.10

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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.