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Finding the Fourth Proportional to 149,094.72, 205,750.08 and 82,025.28

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Solution

The fourth proportional to 149,094.72, 205,750.08 and 82,025.28 is: 113,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,094.72 : 205,750.08 = 82,025.28 : x
  2. Step 2: Convert to fraction form
    149,094.72/205,750.08 = 82,025.28/x
  3. Step 3: Cross multiply
    149,094.72x = 205,750.08 × 82,025.28
  4. Step 4: Simplify right side
    149,094.72x = 16,876,707,922.02
  5. Step 5: Solve for x
    x = 16,876,707,922.02/149,094.72
  6. Step 6: Final answer
    x = 113,194.54

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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.