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Finding the Fourth Proportional to 149,673.78, 206,548.22 and 81,690.21

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Solution

The fourth proportional to 149,673.78, 206,548.22 and 81,690.21 is: 112,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,673.78 : 206,548.22 = 81,690.21 : x
  2. Step 2: Convert to fraction form
    149,673.78/206,548.22 = 81,690.21/x
  3. Step 3: Cross multiply
    149,673.78x = 206,548.22 × 81,690.21
  4. Step 4: Simplify right side
    149,673.78x = 16,872,967,058.48
  5. Step 5: Solve for x
    x = 16,872,967,058.48/149,673.78
  6. Step 6: Final answer
    x = 112,731.62

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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.