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Finding the Fourth Proportional to 205,911.61, 284,161.04 and 118,648.61

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Solution

The fourth proportional to 205,911.61, 284,161.04 and 118,648.61 is: 163,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,911.61 : 284,161.04 = 118,648.61 : x
  2. Step 2: Convert to fraction form
    205,911.61/284,161.04 = 118,648.61/x
  3. Step 3: Cross multiply
    205,911.61x = 284,161.04 × 118,648.61
  4. Step 4: Simplify right side
    205,911.61x = 33,715,311,776.84
  5. Step 5: Solve for x
    x = 33,715,311,776.84/205,911.61
  6. Step 6: Final answer
    x = 163,736.82

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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.