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Finding the Fourth Proportional to 70,538.85, 105,806.22 and 20,620.12

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Solution

The fourth proportional to 70,538.85, 105,806.22 and 20,620.12 is: 30,929.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,538.85 : 105,806.22 = 20,620.12 : x
  2. Step 2: Convert to fraction form
    70,538.85/105,806.22 = 20,620.12/x
  3. Step 3: Cross multiply
    70,538.85x = 105,806.22 × 20,620.12
  4. Step 4: Simplify right side
    70,538.85x = 2,181,736,470.91
  5. Step 5: Solve for x
    x = 2,181,736,470.91/70,538.85
  6. Step 6: Final answer
    x = 30,929.57

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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.