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Finding the Fourth Proportional to 205,713.88, 283,871.80 and 115,054.14

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Solution

The fourth proportional to 205,713.88, 283,871.80 and 115,054.14 is: 158,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,713.88 : 283,871.80 = 115,054.14 : x
  2. Step 2: Convert to fraction form
    205,713.88/283,871.80 = 115,054.14/x
  3. Step 3: Cross multiply
    205,713.88x = 283,871.80 × 115,054.14
  4. Step 4: Simplify right side
    205,713.88x = 32,660,625,819.25
  5. Step 5: Solve for x
    x = 32,660,625,819.25/205,713.88
  6. Step 6: Final answer
    x = 158,767.24

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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.