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Finding the Fourth Proportional to 120,908.48, 181,384.61 and 39,859.83

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Solution

The fourth proportional to 120,908.48, 181,384.61 and 39,859.83 is: 59,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,908.48 : 181,384.61 = 39,859.83 : x
  2. Step 2: Convert to fraction form
    120,908.48/181,384.61 = 39,859.83/x
  3. Step 3: Cross multiply
    120,908.48x = 181,384.61 × 39,859.83
  4. Step 4: Simplify right side
    120,908.48x = 7,229,959,519.92
  5. Step 5: Solve for x
    x = 7,229,959,519.92/120,908.48
  6. Step 6: Final answer
    x = 59,796.96

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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.