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Finding the Fourth Proportional to 120,722.30, 181,011.45 and 74,008.70

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Solution

The fourth proportional to 120,722.30, 181,011.45 and 74,008.70 is: 110,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,722.30 : 181,011.45 = 74,008.70 : x
  2. Step 2: Convert to fraction form
    120,722.30/181,011.45 = 74,008.70/x
  3. Step 3: Cross multiply
    120,722.30x = 181,011.45 × 74,008.70
  4. Step 4: Simplify right side
    120,722.30x = 13,396,422,099.62
  5. Step 5: Solve for x
    x = 13,396,422,099.62/120,722.30
  6. Step 6: Final answer
    x = 110,968.91

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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.