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Finding the Fourth Proportional to 149,257.89, 205,978.37 and 81,276.20

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Solution

The fourth proportional to 149,257.89, 205,978.37 and 81,276.20 is: 112,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,257.89 : 205,978.37 = 81,276.20 : x
  2. Step 2: Convert to fraction form
    149,257.89/205,978.37 = 81,276.20/x
  3. Step 3: Cross multiply
    149,257.89x = 205,978.37 × 81,276.20
  4. Step 4: Simplify right side
    149,257.89x = 16,741,137,759.52
  5. Step 5: Solve for x
    x = 16,741,137,759.52/149,257.89
  6. Step 6: Final answer
    x = 112,162.50

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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.