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Finding the Fourth Proportional to 133,806.88, 200,721.27 and 67,212.76

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Solution

The fourth proportional to 133,806.88, 200,721.27 and 67,212.76 is: 100,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,806.88 : 200,721.27 = 67,212.76 : x
  2. Step 2: Convert to fraction form
    133,806.88/200,721.27 = 67,212.76/x
  3. Step 3: Cross multiply
    133,806.88x = 200,721.27 × 67,212.76
  4. Step 4: Simplify right side
    133,806.88x = 13,491,030,547.41
  5. Step 5: Solve for x
    x = 13,491,030,547.41/133,806.88
  6. Step 6: Final answer
    x = 100,824.64

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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.