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Finding the Fourth Proportional to 90,410, 135,615 and 35,006

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Solution

The fourth proportional to 90,410, 135,615 and 35,006 is: 52,509

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,410 : 135,615 = 35,006 : x
  2. Step 2: Convert to fraction form
    90,410/135,615 = 35,006/x
  3. Step 3: Cross multiply
    90,410x = 135,615 × 35,006
  4. Step 4: Simplify right side
    90,410x = 4,747,338,690
  5. Step 5: Solve for x
    x = 4,747,338,690/90,410
  6. Step 6: Final answer
    x = 52,509

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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.