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Finding the Fourth Proportional to 109,260.26, 163,871.26 and 30,380.64

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Solution

The fourth proportional to 109,260.26, 163,871.26 and 30,380.64 is: 45,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,260.26 : 163,871.26 = 30,380.64 : x
  2. Step 2: Convert to fraction form
    109,260.26/163,871.26 = 30,380.64/x
  3. Step 3: Cross multiply
    109,260.26x = 163,871.26 × 30,380.64
  4. Step 4: Simplify right side
    109,260.26x = 4,978,513,756.41
  5. Step 5: Solve for x
    x = 4,978,513,756.41/109,260.26
  6. Step 6: Final answer
    x = 45,565.64

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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.