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Finding the Fourth Proportional to 265,757.87, 398,656.25 and 107,989.31

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Solution

The fourth proportional to 265,757.87, 398,656.25 and 107,989.31 is: 161,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,757.87 : 398,656.25 = 107,989.31 : x
  2. Step 2: Convert to fraction form
    265,757.87/398,656.25 = 107,989.31/x
  3. Step 3: Cross multiply
    265,757.87x = 398,656.25 × 107,989.31
  4. Step 4: Simplify right side
    265,757.87x = 43,050,612,824.74
  5. Step 5: Solve for x
    x = 43,050,612,824.74/265,757.87
  6. Step 6: Final answer
    x = 161,991.86

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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.