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Finding the Fourth Proportional to 279,955.15, 419,684.05 and 109,137.49

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Solution

The fourth proportional to 279,955.15, 419,684.05 and 109,137.49 is: 163,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,955.15 : 419,684.05 = 109,137.49 : x
  2. Step 2: Convert to fraction form
    279,955.15/419,684.05 = 109,137.49/x
  3. Step 3: Cross multiply
    279,955.15x = 419,684.05 × 109,137.49
  4. Step 4: Simplify right side
    279,955.15x = 45,803,263,810.03
  5. Step 5: Solve for x
    x = 45,803,263,810.03/279,955.15
  6. Step 6: Final answer
    x = 163,609.29

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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.