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Finding the Fourth Proportional to 67,729, 93,472.26 and 37,921

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Solution

The fourth proportional to 67,729, 93,472.26 and 37,921 is: 52,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,729 : 93,472.26 = 37,921 : x
  2. Step 2: Convert to fraction form
    67,729/93,472.26 = 37,921/x
  3. Step 3: Cross multiply
    67,729x = 93,472.26 × 37,921
  4. Step 4: Simplify right side
    67,729x = 3,544,561,571.46
  5. Step 5: Solve for x
    x = 3,544,561,571.46/67,729
  6. Step 6: Final answer
    x = 52,334.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.