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Finding the Fourth Proportional to 120,821, 181,056.30 and 68,118.44

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Solution

The fourth proportional to 120,821, 181,056.30 and 68,118.44 is: 102,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,821 : 181,056.30 = 68,118.44 : x
  2. Step 2: Convert to fraction form
    120,821/181,056.30 = 68,118.44/x
  3. Step 3: Cross multiply
    120,821x = 181,056.30 × 68,118.44
  4. Step 4: Simplify right side
    120,821x = 12,333,272,708.17
  5. Step 5: Solve for x
    x = 12,333,272,708.17/120,821
  6. Step 6: Final answer
    x = 102,078.88

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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.