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Finding the Fourth Proportional to 76,226, 114,346.92 and 20,822

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Solution

The fourth proportional to 76,226, 114,346.92 and 20,822 is: 31,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,226 : 114,346.92 = 20,822 : x
  2. Step 2: Convert to fraction form
    76,226/114,346.92 = 20,822/x
  3. Step 3: Cross multiply
    76,226x = 114,346.92 × 20,822
  4. Step 4: Simplify right side
    76,226x = 2,380,931,568.24
  5. Step 5: Solve for x
    x = 2,380,931,568.24/76,226
  6. Step 6: Final answer
    x = 31,235.16

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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.