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Finding the Fourth Proportional to 207,593.82, 311,417.13 and 81,217.89

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Solution

The fourth proportional to 207,593.82, 311,417.13 and 81,217.89 is: 121,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,593.82 : 311,417.13 = 81,217.89 : x
  2. Step 2: Convert to fraction form
    207,593.82/311,417.13 = 81,217.89/x
  3. Step 3: Cross multiply
    207,593.82x = 311,417.13 × 81,217.89
  4. Step 4: Simplify right side
    207,593.82x = 25,292,642,208.46
  5. Step 5: Solve for x
    x = 25,292,642,208.46/207,593.82
  6. Step 6: Final answer
    x = 121,837.16

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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.