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Finding the Fourth Proportional to 120,395.06, 166,143.50 and 69,407.89

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Solution

The fourth proportional to 120,395.06, 166,143.50 and 69,407.89 is: 95,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,395.06 : 166,143.50 = 69,407.89 : x
  2. Step 2: Convert to fraction form
    120,395.06/166,143.50 = 69,407.89/x
  3. Step 3: Cross multiply
    120,395.06x = 166,143.50 × 69,407.89
  4. Step 4: Simplify right side
    120,395.06x = 11,531,669,660.52
  5. Step 5: Solve for x
    x = 11,531,669,660.52/120,395.06
  6. Step 6: Final answer
    x = 95,781.92

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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.