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Finding the Fourth Proportional to 109,367.40, 163,961.10 and 49,399.80

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Solution

The fourth proportional to 109,367.40, 163,961.10 and 49,399.80 is: 74,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,367.40 : 163,961.10 = 49,399.80 : x
  2. Step 2: Convert to fraction form
    109,367.40/163,961.10 = 49,399.80/x
  3. Step 3: Cross multiply
    109,367.40x = 163,961.10 × 49,399.80
  4. Step 4: Simplify right side
    109,367.40x = 8,099,645,547.78
  5. Step 5: Solve for x
    x = 8,099,645,547.78/109,367.40
  6. Step 6: Final answer
    x = 74,059.05

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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.