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Finding the Fourth Proportional to 201,138.76, 277,562.52 and 120,610.72

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Solution

The fourth proportional to 201,138.76, 277,562.52 and 120,610.72 is: 166,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,138.76 : 277,562.52 = 120,610.72 : x
  2. Step 2: Convert to fraction form
    201,138.76/277,562.52 = 120,610.72/x
  3. Step 3: Cross multiply
    201,138.76x = 277,562.52 × 120,610.72
  4. Step 4: Simplify right side
    201,138.76x = 33,477,015,382.21
  5. Step 5: Solve for x
    x = 33,477,015,382.21/201,138.76
  6. Step 6: Final answer
    x = 166,437.42

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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.