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Finding the Fourth Proportional to 120,816, 166,726.08 and 67,824

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Solution

The fourth proportional to 120,816, 166,726.08 and 67,824 is: 93,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,816 : 166,726.08 = 67,824 : x
  2. Step 2: Convert to fraction form
    120,816/166,726.08 = 67,824/x
  3. Step 3: Cross multiply
    120,816x = 166,726.08 × 67,824
  4. Step 4: Simplify right side
    120,816x = 11,308,029,649.92
  5. Step 5: Solve for x
    x = 11,308,029,649.92/120,816
  6. Step 6: Final answer
    x = 93,597.12

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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.