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Finding the Fourth Proportional to 120,523.02, 166,304.28 and 66,808

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Solution

The fourth proportional to 120,523.02, 166,304.28 and 66,808 is: 92,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,523.02 : 166,304.28 = 66,808 : x
  2. Step 2: Convert to fraction form
    120,523.02/166,304.28 = 66,808/x
  3. Step 3: Cross multiply
    120,523.02x = 166,304.28 × 66,808
  4. Step 4: Simplify right side
    120,523.02x = 11,110,456,338.24
  5. Step 5: Solve for x
    x = 11,110,456,338.24/120,523.02
  6. Step 6: Final answer
    x = 92,185.35

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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.