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Finding the Fourth Proportional to 67,680.84, 101,538.54 and 20,295.75

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Solution

The fourth proportional to 67,680.84, 101,538.54 and 20,295.75 is: 30,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,680.84 : 101,538.54 = 20,295.75 : x
  2. Step 2: Convert to fraction form
    67,680.84/101,538.54 = 20,295.75/x
  3. Step 3: Cross multiply
    67,680.84x = 101,538.54 × 20,295.75
  4. Step 4: Simplify right side
    67,680.84x = 2,060,800,823.21
  5. Step 5: Solve for x
    x = 2,060,800,823.21/67,680.84
  6. Step 6: Final answer
    x = 30,448.81

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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.