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Finding the Fourth Proportional to 120,433.48, 166,198.21 and 65,985.88

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Solution

The fourth proportional to 120,433.48, 166,198.21 and 65,985.88 is: 91,060.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,433.48 : 166,198.21 = 65,985.88 : x
  2. Step 2: Convert to fraction form
    120,433.48/166,198.21 = 65,985.88/x
  3. Step 3: Cross multiply
    120,433.48x = 166,198.21 × 65,985.88
  4. Step 4: Simplify right side
    120,433.48x = 10,966,735,141.27
  5. Step 5: Solve for x
    x = 10,966,735,141.27/120,433.48
  6. Step 6: Final answer
    x = 91,060.52

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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.