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Finding the Fourth Proportional to 120,978.90, 166,950 and 67,263.48

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Solution

The fourth proportional to 120,978.90, 166,950 and 67,263.48 is: 92,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,978.90 : 166,950 = 67,263.48 : x
  2. Step 2: Convert to fraction form
    120,978.90/166,950 = 67,263.48/x
  3. Step 3: Cross multiply
    120,978.90x = 166,950 × 67,263.48
  4. Step 4: Simplify right side
    120,978.90x = 11,229,637,986
  5. Step 5: Solve for x
    x = 11,229,637,986/120,978.90
  6. Step 6: Final answer
    x = 92,823.11

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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.