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Finding the Fourth Proportional to 120,938.48, 166,900.72 and 67,228.80

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Solution

The fourth proportional to 120,938.48, 166,900.72 and 67,228.80 is: 92,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,938.48 : 166,900.72 = 67,228.80 : x
  2. Step 2: Convert to fraction form
    120,938.48/166,900.72 = 67,228.80/x
  3. Step 3: Cross multiply
    120,938.48x = 166,900.72 × 67,228.80
  4. Step 4: Simplify right side
    120,938.48x = 11,220,535,124.74
  5. Step 5: Solve for x
    x = 11,220,535,124.74/120,938.48
  6. Step 6: Final answer
    x = 92,778.87

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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.