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Finding the Fourth Proportional to 67,214.54, 100,836.81 and 20,471.02

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Solution

The fourth proportional to 67,214.54, 100,836.81 and 20,471.02 is: 30,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,214.54 : 100,836.81 = 20,471.02 : x
  2. Step 2: Convert to fraction form
    67,214.54/100,836.81 = 20,471.02/x
  3. Step 3: Cross multiply
    67,214.54x = 100,836.81 × 20,471.02
  4. Step 4: Simplify right side
    67,214.54x = 2,064,232,354.25
  5. Step 5: Solve for x
    x = 2,064,232,354.25/67,214.54
  6. Step 6: Final answer
    x = 30,711.10

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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.