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Finding the Fourth Proportional to 120,376.56, 180,497.31 and 82,468.65

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Solution

The fourth proportional to 120,376.56, 180,497.31 and 82,468.65 is: 123,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,376.56 : 180,497.31 = 82,468.65 : x
  2. Step 2: Convert to fraction form
    120,376.56/180,497.31 = 82,468.65/x
  3. Step 3: Cross multiply
    120,376.56x = 180,497.31 × 82,468.65
  4. Step 4: Simplify right side
    120,376.56x = 14,885,369,484.33
  5. Step 5: Solve for x
    x = 14,885,369,484.33/120,376.56
  6. Step 6: Final answer
    x = 123,656.71

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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.