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Finding the Fourth Proportional to 72,815.58, 109,222.74 and 20,224.98

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Solution

The fourth proportional to 72,815.58, 109,222.74 and 20,224.98 is: 30,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,815.58 : 109,222.74 = 20,224.98 : x
  2. Step 2: Convert to fraction form
    72,815.58/109,222.74 = 20,224.98/x
  3. Step 3: Cross multiply
    72,815.58x = 109,222.74 × 20,224.98
  4. Step 4: Simplify right side
    72,815.58x = 2,209,027,732.05
  5. Step 5: Solve for x
    x = 2,209,027,732.05/72,815.58
  6. Step 6: Final answer
    x = 30,337.30

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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.