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Finding the Fourth Proportional to 120,822, 181,057.80 and 68,119.44

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Solution

The fourth proportional to 120,822, 181,057.80 and 68,119.44 is: 102,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,822 : 181,057.80 = 68,119.44 : x
  2. Step 2: Convert to fraction form
    120,822/181,057.80 = 68,119.44/x
  3. Step 3: Cross multiply
    120,822x = 181,057.80 × 68,119.44
  4. Step 4: Simplify right side
    120,822x = 12,333,555,943.63
  5. Step 5: Solve for x
    x = 12,333,555,943.63/120,822
  6. Step 6: Final answer
    x = 102,080.38

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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.