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Finding the Fourth Proportional to 137,453.87, 205,830.79 and 90,564.59

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Solution

The fourth proportional to 137,453.87, 205,830.79 and 90,564.59 is: 135,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,453.87 : 205,830.79 = 90,564.59 : x
  2. Step 2: Convert to fraction form
    137,453.87/205,830.79 = 90,564.59/x
  3. Step 3: Cross multiply
    137,453.87x = 205,830.79 × 90,564.59
  4. Step 4: Simplify right side
    137,453.87x = 18,640,979,850.16
  5. Step 5: Solve for x
    x = 18,640,979,850.16/137,453.87
  6. Step 6: Final answer
    x = 135,616.27

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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.