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Finding the Fourth Proportional to 185,309.88, 255,727.85 and 100,426.94

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Solution

The fourth proportional to 185,309.88, 255,727.85 and 100,426.94 is: 138,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,309.88 : 255,727.85 = 100,426.94 : x
  2. Step 2: Convert to fraction form
    185,309.88/255,727.85 = 100,426.94/x
  3. Step 3: Cross multiply
    185,309.88x = 255,727.85 × 100,426.94
  4. Step 4: Simplify right side
    185,309.88x = 25,681,965,448.28
  5. Step 5: Solve for x
    x = 25,681,965,448.28/185,309.88
  6. Step 6: Final answer
    x = 138,589.29

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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.