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Finding the Fourth Proportional to 265,967.02, 399,163.12 and 137,919.69

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Solution

The fourth proportional to 265,967.02, 399,163.12 and 137,919.69 is: 206,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,967.02 : 399,163.12 = 137,919.69 : x
  2. Step 2: Convert to fraction form
    265,967.02/399,163.12 = 137,919.69/x
  3. Step 3: Cross multiply
    265,967.02x = 399,163.12 × 137,919.69
  4. Step 4: Simplify right side
    265,967.02x = 55,052,454,200.83
  5. Step 5: Solve for x
    x = 55,052,454,200.83/265,967.02
  6. Step 6: Final answer
    x = 206,989.78

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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.