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Finding the Fourth Proportional to 120,643.88, 166,481.04 and 66,927.80

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Solution

The fourth proportional to 120,643.88, 166,481.04 and 66,927.80 is: 92,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,643.88 : 166,481.04 = 66,927.80 : x
  2. Step 2: Convert to fraction form
    120,643.88/166,481.04 = 66,927.80/x
  3. Step 3: Cross multiply
    120,643.88x = 166,481.04 × 66,927.80
  4. Step 4: Simplify right side
    120,643.88x = 11,142,209,748.91
  5. Step 5: Solve for x
    x = 11,142,209,748.91/120,643.88
  6. Step 6: Final answer
    x = 92,356.20

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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.