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Finding the Fourth Proportional to 209,120.73, 313,504.76 and 90,702.89

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Solution

The fourth proportional to 209,120.73, 313,504.76 and 90,702.89 is: 135,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,120.73 : 313,504.76 = 90,702.89 : x
  2. Step 2: Convert to fraction form
    209,120.73/313,504.76 = 90,702.89/x
  3. Step 3: Cross multiply
    209,120.73x = 313,504.76 × 90,702.89
  4. Step 4: Simplify right side
    209,120.73x = 28,435,786,419.99
  5. Step 5: Solve for x
    x = 28,435,786,419.99/209,120.73
  6. Step 6: Final answer
    x = 135,977.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.