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Finding the Fourth Proportional to 120,554.94, 180,657.45 and 67,851.90

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Solution

The fourth proportional to 120,554.94, 180,657.45 and 67,851.90 is: 101,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,554.94 : 180,657.45 = 67,851.90 : x
  2. Step 2: Convert to fraction form
    120,554.94/180,657.45 = 67,851.90/x
  3. Step 3: Cross multiply
    120,554.94x = 180,657.45 × 67,851.90
  4. Step 4: Simplify right side
    120,554.94x = 12,257,951,231.66
  5. Step 5: Solve for x
    x = 12,257,951,231.66/120,554.94
  6. Step 6: Final answer
    x = 101,679.38

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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.