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Finding the Fourth Proportional to 131,716.80, 181,720.26 and 83,959.20

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Solution

The fourth proportional to 131,716.80, 181,720.26 and 83,959.20 is: 115,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,716.80 : 181,720.26 = 83,959.20 : x
  2. Step 2: Convert to fraction form
    131,716.80/181,720.26 = 83,959.20/x
  3. Step 3: Cross multiply
    131,716.80x = 181,720.26 × 83,959.20
  4. Step 4: Simplify right side
    131,716.80x = 15,257,087,653.39
  5. Step 5: Solve for x
    x = 15,257,087,653.39/131,716.80
  6. Step 6: Final answer
    x = 115,832.51

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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.