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Finding the Fourth Proportional to 120,649.89, 166,504.73 and 69,664.77

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Solution

The fourth proportional to 120,649.89, 166,504.73 and 69,664.77 is: 96,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,649.89 : 166,504.73 = 69,664.77 : x
  2. Step 2: Convert to fraction form
    120,649.89/166,504.73 = 69,664.77/x
  3. Step 3: Cross multiply
    120,649.89x = 166,504.73 × 69,664.77
  4. Step 4: Simplify right side
    120,649.89x = 11,599,514,024.15
  5. Step 5: Solve for x
    x = 11,599,514,024.15/120,649.89
  6. Step 6: Final answer
    x = 96,141.94

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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.