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Finding the Fourth Proportional to 72,808.82, 109,213.27 and 20,218.31

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Solution

The fourth proportional to 72,808.82, 109,213.27 and 20,218.31 is: 30,327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,808.82 : 109,213.27 = 20,218.31 : x
  2. Step 2: Convert to fraction form
    72,808.82/109,213.27 = 20,218.31/x
  3. Step 3: Cross multiply
    72,808.82x = 109,213.27 × 20,218.31
  4. Step 4: Simplify right side
    72,808.82x = 2,208,107,152.36
  5. Step 5: Solve for x
    x = 2,208,107,152.36/72,808.82
  6. Step 6: Final answer
    x = 30,327.47

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Double scale
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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.