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Finding the Fourth Proportional to 120,456.69, 166,223.25 and 66,738.51

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Solution

The fourth proportional to 120,456.69, 166,223.25 and 66,738.51 is: 92,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,456.69 : 166,223.25 = 66,738.51 : x
  2. Step 2: Convert to fraction form
    120,456.69/166,223.25 = 66,738.51/x
  3. Step 3: Cross multiply
    120,456.69x = 166,223.25 × 66,738.51
  4. Step 4: Simplify right side
    120,456.69x = 11,093,492,032.36
  5. Step 5: Solve for x
    x = 11,093,492,032.36/120,456.69
  6. Step 6: Final answer
    x = 92,095.28

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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.