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Finding the Fourth Proportional to 201,221.66, 277,625.32 and 120,619.77

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Solution

The fourth proportional to 201,221.66, 277,625.32 and 120,619.77 is: 166,418.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,221.66 : 277,625.32 = 120,619.77 : x
  2. Step 2: Convert to fraction form
    201,221.66/277,625.32 = 120,619.77/x
  3. Step 3: Cross multiply
    201,221.66x = 277,625.32 × 120,619.77
  4. Step 4: Simplify right side
    201,221.66x = 33,487,102,244.58
  5. Step 5: Solve for x
    x = 33,487,102,244.58/201,221.66
  6. Step 6: Final answer
    x = 166,418.98

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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.