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Finding the Fourth Proportional to 72,809.94, 109,214.96 and 20,219.43

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Solution

The fourth proportional to 72,809.94, 109,214.96 and 20,219.43 is: 30,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,809.94 : 109,214.96 = 20,219.43 : x
  2. Step 2: Convert to fraction form
    72,809.94/109,214.96 = 20,219.43/x
  3. Step 3: Cross multiply
    72,809.94x = 109,214.96 × 20,219.43
  4. Step 4: Simplify right side
    72,809.94x = 2,208,264,137.58
  5. Step 5: Solve for x
    x = 2,208,264,137.58/72,809.94
  6. Step 6: Final answer
    x = 30,329.16

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Similar ratio
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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.