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Finding the Fourth Proportional to 201,221.67, 277,625.34 and 120,619.79

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Solution

The fourth proportional to 201,221.67, 277,625.34 and 120,619.79 is: 166,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,221.67 : 277,625.34 = 120,619.79 : x
  2. Step 2: Convert to fraction form
    201,221.67/277,625.34 = 120,619.79/x
  3. Step 3: Cross multiply
    201,221.67x = 277,625.34 × 120,619.79
  4. Step 4: Simplify right side
    201,221.67x = 33,487,108,821.35
  5. Step 5: Solve for x
    x = 33,487,108,821.35/201,221.67
  6. Step 6: Final answer
    x = 166,419.00

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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.