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Finding the Fourth Proportional to 120,393.55, 166,142.75 and 69,406.04

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Solution

The fourth proportional to 120,393.55, 166,142.75 and 69,406.04 is: 95,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,393.55 : 166,142.75 = 69,406.04 : x
  2. Step 2: Convert to fraction form
    120,393.55/166,142.75 = 69,406.04/x
  3. Step 3: Cross multiply
    120,393.55x = 166,142.75 × 69,406.04
  4. Step 4: Simplify right side
    120,393.55x = 11,531,309,953.26
  5. Step 5: Solve for x
    x = 11,531,309,953.26/120,393.55
  6. Step 6: Final answer
    x = 95,780.13

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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.