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Finding the Fourth Proportional to 131,858.29, 181,927.52 and 82,805.20

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Solution

The fourth proportional to 131,858.29, 181,927.52 and 82,805.20 is: 114,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,858.29 : 181,927.52 = 82,805.20 : x
  2. Step 2: Convert to fraction form
    131,858.29/181,927.52 = 82,805.20/x
  3. Step 3: Cross multiply
    131,858.29x = 181,927.52 × 82,805.20
  4. Step 4: Simplify right side
    131,858.29x = 15,064,544,120.78
  5. Step 5: Solve for x
    x = 15,064,544,120.78/131,858.29
  6. Step 6: Final answer
    x = 114,247.99

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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.