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Finding the Fourth Proportional to 149,477.01, 223,725.87 and 81,906

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Solution

The fourth proportional to 149,477.01, 223,725.87 and 81,906 is: 122,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,477.01 : 223,725.87 = 81,906 : x
  2. Step 2: Convert to fraction form
    149,477.01/223,725.87 = 81,906/x
  3. Step 3: Cross multiply
    149,477.01x = 223,725.87 × 81,906
  4. Step 4: Simplify right side
    149,477.01x = 18,324,491,108.22
  5. Step 5: Solve for x
    x = 18,324,491,108.22/149,477.01
  6. Step 6: Final answer
    x = 122,590.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.