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Finding the Fourth Proportional to 215,738.85, 297,721 and 120,251.60

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Solution

The fourth proportional to 215,738.85, 297,721 and 120,251.60 is: 165,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,738.85 : 297,721 = 120,251.60 : x
  2. Step 2: Convert to fraction form
    215,738.85/297,721 = 120,251.60/x
  3. Step 3: Cross multiply
    215,738.85x = 297,721 × 120,251.60
  4. Step 4: Simplify right side
    215,738.85x = 35,801,426,603.60
  5. Step 5: Solve for x
    x = 35,801,426,603.60/215,738.85
  6. Step 6: Final answer
    x = 165,947.98

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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.