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Finding the Fourth Proportional to 205,712.88, 283,870.41 and 115,053.15

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Solution

The fourth proportional to 205,712.88, 283,870.41 and 115,053.15 is: 158,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,712.88 : 283,870.41 = 115,053.15 : x
  2. Step 2: Convert to fraction form
    205,712.88/283,870.41 = 115,053.15/x
  3. Step 3: Cross multiply
    205,712.88x = 283,870.41 × 115,053.15
  4. Step 4: Simplify right side
    205,712.88x = 32,660,184,862.29
  5. Step 5: Solve for x
    x = 32,660,184,862.29/205,712.88
  6. Step 6: Final answer
    x = 158,765.87

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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.