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Finding the Fourth Proportional to 185,502.88, 255,992.16 and 100,618.72

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Solution

The fourth proportional to 185,502.88, 255,992.16 and 100,618.72 is: 138,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,502.88 : 255,992.16 = 100,618.72 : x
  2. Step 2: Convert to fraction form
    185,502.88/255,992.16 = 100,618.72/x
  3. Step 3: Cross multiply
    185,502.88x = 255,992.16 × 100,618.72
  4. Step 4: Simplify right side
    185,502.88x = 25,757,603,469.24
  5. Step 5: Solve for x
    x = 25,757,603,469.24/185,502.88
  6. Step 6: Final answer
    x = 138,852.85

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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.