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Finding the Fourth Proportional to 149,891.85, 206,851.29 and 81,908.83

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Solution

The fourth proportional to 149,891.85, 206,851.29 and 81,908.83 is: 113,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,891.85 : 206,851.29 = 81,908.83 : x
  2. Step 2: Convert to fraction form
    149,891.85/206,851.29 = 81,908.83/x
  3. Step 3: Cross multiply
    149,891.85x = 206,851.29 × 81,908.83
  4. Step 4: Simplify right side
    149,891.85x = 16,942,946,113.63
  5. Step 5: Solve for x
    x = 16,942,946,113.63/149,891.85
  6. Step 6: Final answer
    x = 113,034.47

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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.