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Finding the Fourth Proportional to 215,696.88, 297,661.98 and 120,201.48

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Solution

The fourth proportional to 215,696.88, 297,661.98 and 120,201.48 is: 165,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,696.88 : 297,661.98 = 120,201.48 : x
  2. Step 2: Convert to fraction form
    215,696.88/297,661.98 = 120,201.48/x
  3. Step 3: Cross multiply
    215,696.88x = 297,661.98 × 120,201.48
  4. Step 4: Simplify right side
    215,696.88x = 35,779,410,535.73
  5. Step 5: Solve for x
    x = 35,779,410,535.73/215,696.88
  6. Step 6: Final answer
    x = 165,878.20

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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.