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Finding the Fourth Proportional to 206,142.21, 284,486.75 and 118,894.87

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Solution

The fourth proportional to 206,142.21, 284,486.75 and 118,894.87 is: 164,080.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,142.21 : 284,486.75 = 118,894.87 : x
  2. Step 2: Convert to fraction form
    206,142.21/284,486.75 = 118,894.87/x
  3. Step 3: Cross multiply
    206,142.21x = 284,486.75 × 118,894.87
  4. Step 4: Simplify right side
    206,142.21x = 33,824,014,743.99
  5. Step 5: Solve for x
    x = 33,824,014,743.99/206,142.21
  6. Step 6: Final answer
    x = 164,080.97

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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.