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Finding the Fourth Proportional to 149,118.92, 205,789.77 and 85,469.00

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Solution

The fourth proportional to 149,118.92, 205,789.77 and 85,469.00 is: 117,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,118.92 : 205,789.77 = 85,469.00 : x
  2. Step 2: Convert to fraction form
    149,118.92/205,789.77 = 85,469.00/x
  3. Step 3: Cross multiply
    149,118.92x = 205,789.77 × 85,469.00
  4. Step 4: Simplify right side
    149,118.92x = 17,588,644,823.18
  5. Step 5: Solve for x
    x = 17,588,644,823.18/149,118.92
  6. Step 6: Final answer
    x = 117,950.46

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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.