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Finding the Fourth Proportional to 149,027.01, 205,657.16 and 81,959.01

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Solution

The fourth proportional to 149,027.01, 205,657.16 and 81,959.01 is: 113,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,027.01 : 205,657.16 = 81,959.01 : x
  2. Step 2: Convert to fraction form
    149,027.01/205,657.16 = 81,959.01/x
  3. Step 3: Cross multiply
    149,027.01x = 205,657.16 × 81,959.01
  4. Step 4: Simplify right side
    149,027.01x = 16,855,456,823.22
  5. Step 5: Solve for x
    x = 16,855,456,823.22/149,027.01
  6. Step 6: Final answer
    x = 113,103.37

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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.