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Finding the Fourth Proportional to 201,285.83, 277,788.96 and 120,711.89

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Solution

The fourth proportional to 201,285.83, 277,788.96 and 120,711.89 is: 166,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,285.83 : 277,788.96 = 120,711.89 : x
  2. Step 2: Convert to fraction form
    201,285.83/277,788.96 = 120,711.89/x
  3. Step 3: Cross multiply
    201,285.83x = 277,788.96 × 120,711.89
  4. Step 4: Simplify right side
    201,285.83x = 33,532,430,382.73
  5. Step 5: Solve for x
    x = 33,532,430,382.73/201,285.83
  6. Step 6: Final answer
    x = 166,591.11

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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.