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Finding the Fourth Proportional to 149,059.52, 205,705.36 and 81,991.52

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Solution

The fourth proportional to 149,059.52, 205,705.36 and 81,991.52 is: 113,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,059.52 : 205,705.36 = 81,991.52 : x
  2. Step 2: Convert to fraction form
    149,059.52/205,705.36 = 81,991.52/x
  3. Step 3: Cross multiply
    149,059.52x = 205,705.36 × 81,991.52
  4. Step 4: Simplify right side
    149,059.52x = 16,866,095,138.55
  5. Step 5: Solve for x
    x = 16,866,095,138.55/149,059.52
  6. Step 6: Final answer
    x = 113,150.07

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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.