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Finding the Fourth Proportional to 207,809.88, 286,771.89 and 117,165.05

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Solution

The fourth proportional to 207,809.88, 286,771.89 and 117,165.05 is: 161,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,809.88 : 286,771.89 = 117,165.05 : x
  2. Step 2: Convert to fraction form
    207,809.88/286,771.89 = 117,165.05/x
  3. Step 3: Cross multiply
    207,809.88x = 286,771.89 × 117,165.05
  4. Step 4: Simplify right side
    207,809.88x = 33,599,642,911.35
  5. Step 5: Solve for x
    x = 33,599,642,911.35/207,809.88
  6. Step 6: Final answer
    x = 161,684.53

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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.