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Finding the Fourth Proportional to 205,846.82, 284,081.13 and 115,200.93

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Solution

The fourth proportional to 205,846.82, 284,081.13 and 115,200.93 is: 158,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,846.82 : 284,081.13 = 115,200.93 : x
  2. Step 2: Convert to fraction form
    205,846.82/284,081.13 = 115,200.93/x
  3. Step 3: Cross multiply
    205,846.82x = 284,081.13 × 115,200.93
  4. Step 4: Simplify right side
    205,846.82x = 32,726,409,795.45
  5. Step 5: Solve for x
    x = 32,726,409,795.45/205,846.82
  6. Step 6: Final answer
    x = 158,984.29

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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.