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Finding the Fourth Proportional to 149,855.87, 206,815.40 and 81,883.17

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Solution

The fourth proportional to 149,855.87, 206,815.40 and 81,883.17 is: 113,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,855.87 : 206,815.40 = 81,883.17 : x
  2. Step 2: Convert to fraction form
    149,855.87/206,815.40 = 81,883.17/x
  3. Step 3: Cross multiply
    149,855.87x = 206,815.40 × 81,883.17
  4. Step 4: Simplify right side
    149,855.87x = 16,934,701,230.02
  5. Step 5: Solve for x
    x = 16,934,701,230.02/149,855.87
  6. Step 6: Final answer
    x = 113,006.60

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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.