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Finding the Fourth Proportional to 120,715, 181,276.98 and 78,667

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Solution

The fourth proportional to 120,715, 181,276.98 and 78,667 is: 118,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,715 : 181,276.98 = 78,667 : x
  2. Step 2: Convert to fraction form
    120,715/181,276.98 = 78,667/x
  3. Step 3: Cross multiply
    120,715x = 181,276.98 × 78,667
  4. Step 4: Simplify right side
    120,715x = 14,260,516,185.66
  5. Step 5: Solve for x
    x = 14,260,516,185.66/120,715
  6. Step 6: Final answer
    x = 118,133.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.