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Finding the Fourth Proportional to 149,885.90, 206,840.10 and 81,901.40

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Solution

The fourth proportional to 149,885.90, 206,840.10 and 81,901.40 is: 113,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,885.90 : 206,840.10 = 81,901.40 : x
  2. Step 2: Convert to fraction form
    149,885.90/206,840.10 = 81,901.40/x
  3. Step 3: Cross multiply
    149,885.90x = 206,840.10 × 81,901.40
  4. Step 4: Simplify right side
    149,885.90x = 16,940,493,766.14
  5. Step 5: Solve for x
    x = 16,940,493,766.14/149,885.90
  6. Step 6: Final answer
    x = 113,022.60

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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.