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Finding the Fourth Proportional to 73,095.21, 109,634.31 and 20,509.20

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Solution

The fourth proportional to 73,095.21, 109,634.31 and 20,509.20 is: 30,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,095.21 : 109,634.31 = 20,509.20 : x
  2. Step 2: Convert to fraction form
    73,095.21/109,634.31 = 20,509.20/x
  3. Step 3: Cross multiply
    73,095.21x = 109,634.31 × 20,509.20
  4. Step 4: Simplify right side
    73,095.21x = 2,248,511,990.65
  5. Step 5: Solve for x
    x = 2,248,511,990.65/73,095.21
  6. Step 6: Final answer
    x = 30,761.41

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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.