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Finding the Fourth Proportional to 120,700.40, 166,558.81 and 75,375.69

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Solution

The fourth proportional to 120,700.40, 166,558.81 and 75,375.69 is: 104,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,700.40 : 166,558.81 = 75,375.69 : x
  2. Step 2: Convert to fraction form
    120,700.40/166,558.81 = 75,375.69/x
  3. Step 3: Cross multiply
    120,700.40x = 166,558.81 × 75,375.69
  4. Step 4: Simplify right side
    120,700.40x = 12,554,484,814.08
  5. Step 5: Solve for x
    x = 12,554,484,814.08/120,700.40
  6. Step 6: Final answer
    x = 104,013.61

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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.