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Finding the Fourth Proportional to 72,709.65, 109,065.84 and 22,788.64

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Solution

The fourth proportional to 72,709.65, 109,065.84 and 22,788.64 is: 34,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,709.65 : 109,065.84 = 22,788.64 : x
  2. Step 2: Convert to fraction form
    72,709.65/109,065.84 = 22,788.64/x
  3. Step 3: Cross multiply
    72,709.65x = 109,065.84 × 22,788.64
  4. Step 4: Simplify right side
    72,709.65x = 2,485,461,891.39
  5. Step 5: Solve for x
    x = 2,485,461,891.39/72,709.65
  6. Step 6: Final answer
    x = 34,183.38

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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.