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Finding the Fourth Proportional to 109,616.20, 164,489.10 and 72,284.20

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Solution

The fourth proportional to 109,616.20, 164,489.10 and 72,284.20 is: 108,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,616.20 : 164,489.10 = 72,284.20 : x
  2. Step 2: Convert to fraction form
    109,616.20/164,489.10 = 72,284.20/x
  3. Step 3: Cross multiply
    109,616.20x = 164,489.10 × 72,284.20
  4. Step 4: Simplify right side
    109,616.20x = 11,889,963,002.22
  5. Step 5: Solve for x
    x = 11,889,963,002.22/109,616.20
  6. Step 6: Final answer
    x = 108,469.03

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1.5x scale

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.