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Finding the Fourth Proportional to 207,714.20, 286,646.84 and 115,839.29

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Solution

The fourth proportional to 207,714.20, 286,646.84 and 115,839.29 is: 159,858.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,714.20 : 286,646.84 = 115,839.29 : x
  2. Step 2: Convert to fraction form
    207,714.20/286,646.84 = 115,839.29/x
  3. Step 3: Cross multiply
    207,714.20x = 286,646.84 × 115,839.29
  4. Step 4: Simplify right side
    207,714.20x = 33,204,965,282.71
  5. Step 5: Solve for x
    x = 33,204,965,282.71/207,714.20
  6. Step 6: Final answer
    x = 159,858.91

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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.