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Finding the Fourth Proportional to 72,919.68, 109,385.70 and 20,329.22

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Solution

The fourth proportional to 72,919.68, 109,385.70 and 20,329.22 is: 30,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,919.68 : 109,385.70 = 20,329.22 : x
  2. Step 2: Convert to fraction form
    72,919.68/109,385.70 = 20,329.22/x
  3. Step 3: Cross multiply
    72,919.68x = 109,385.70 × 20,329.22
  4. Step 4: Simplify right side
    72,919.68x = 2,223,725,311.58
  5. Step 5: Solve for x
    x = 2,223,725,311.58/72,919.68
  6. Step 6: Final answer
    x = 30,495.54

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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.