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Finding the Fourth Proportional to 120,978.12, 166,940.40 and 67,259.88

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Solution

The fourth proportional to 120,978.12, 166,940.40 and 67,259.88 is: 92,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,978.12 : 166,940.40 = 67,259.88 : x
  2. Step 2: Convert to fraction form
    120,978.12/166,940.40 = 67,259.88/x
  3. Step 3: Cross multiply
    120,978.12x = 166,940.40 × 67,259.88
  4. Step 4: Simplify right side
    120,978.12x = 11,228,391,271.15
  5. Step 5: Solve for x
    x = 11,228,391,271.15/120,978.12
  6. Step 6: Final answer
    x = 92,813.41

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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.