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Finding the Fourth Proportional to 206,419.44, 284,919.30 and 134,810.58

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Solution

The fourth proportional to 206,419.44, 284,919.30 and 134,810.58 is: 186,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,419.44 : 284,919.30 = 134,810.58 : x
  2. Step 2: Convert to fraction form
    206,419.44/284,919.30 = 134,810.58/x
  3. Step 3: Cross multiply
    206,419.44x = 284,919.30 × 134,810.58
  4. Step 4: Simplify right side
    206,419.44x = 38,410,136,086.19
  5. Step 5: Solve for x
    x = 38,410,136,086.19/206,419.44
  6. Step 6: Final answer
    x = 186,078.09

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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.