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Finding the Fourth Proportional to 131,382.70, 181,308.30 and 74,794

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Solution

The fourth proportional to 131,382.70, 181,308.30 and 74,794 is: 103,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,382.70 : 181,308.30 = 74,794 : x
  2. Step 2: Convert to fraction form
    131,382.70/181,308.30 = 74,794/x
  3. Step 3: Cross multiply
    131,382.70x = 181,308.30 × 74,794
  4. Step 4: Simplify right side
    131,382.70x = 13,560,772,990.20
  5. Step 5: Solve for x
    x = 13,560,772,990.20/131,382.70
  6. Step 6: Final answer
    x = 103,215.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.