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Finding the Fourth Proportional to 72,794.75, 109,192.10 and 20,204.22

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Solution

The fourth proportional to 72,794.75, 109,192.10 and 20,204.22 is: 30,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,794.75 : 109,192.10 = 20,204.22 : x
  2. Step 2: Convert to fraction form
    72,794.75/109,192.10 = 20,204.22/x
  3. Step 3: Cross multiply
    72,794.75x = 109,192.10 × 20,204.22
  4. Step 4: Simplify right side
    72,794.75x = 2,206,141,109.64
  5. Step 5: Solve for x
    x = 2,206,141,109.64/72,794.75
  6. Step 6: Final answer
    x = 30,306.32

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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.