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Finding the Fourth Proportional to 205,728.48, 283,904 and 115,084

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Solution

The fourth proportional to 205,728.48, 283,904 and 115,084 is: 158,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,728.48 : 283,904 = 115,084 : x
  2. Step 2: Convert to fraction form
    205,728.48/283,904 = 115,084/x
  3. Step 3: Cross multiply
    205,728.48x = 283,904 × 115,084
  4. Step 4: Simplify right side
    205,728.48x = 32,672,807,936
  5. Step 5: Solve for x
    x = 32,672,807,936/205,728.48
  6. Step 6: Final answer
    x = 158,815.19

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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.