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Finding the Fourth Proportional to 120,978.75, 166,950.68 and 67,986.75

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Solution

The fourth proportional to 120,978.75, 166,950.68 and 67,986.75 is: 93,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,978.75 : 166,950.68 = 67,986.75 : x
  2. Step 2: Convert to fraction form
    120,978.75/166,950.68 = 67,986.75/x
  3. Step 3: Cross multiply
    120,978.75x = 166,950.68 × 67,986.75
  4. Step 4: Simplify right side
    120,978.75x = 11,350,433,803.56
  5. Step 5: Solve for x
    x = 11,350,433,803.56/120,978.75
  6. Step 6: Final answer
    x = 93,821.72

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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.