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Finding the Fourth Proportional to 205,857.90, 284,029.90 and 118,621.54

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Solution

The fourth proportional to 205,857.90, 284,029.90 and 118,621.54 is: 163,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,857.90 : 284,029.90 = 118,621.54 : x
  2. Step 2: Convert to fraction form
    205,857.90/284,029.90 = 118,621.54/x
  3. Step 3: Cross multiply
    205,857.90x = 284,029.90 × 118,621.54
  4. Step 4: Simplify right side
    205,857.90x = 33,692,064,144.05
  5. Step 5: Solve for x
    x = 33,692,064,144.05/205,857.90
  6. Step 6: Final answer
    x = 163,666.61

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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.