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Finding the Fourth Proportional to 90,406, 135,609 and 35,002

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Solution

The fourth proportional to 90,406, 135,609 and 35,002 is: 52,503

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,406 : 135,609 = 35,002 : x
  2. Step 2: Convert to fraction form
    90,406/135,609 = 35,002/x
  3. Step 3: Cross multiply
    90,406x = 135,609 × 35,002
  4. Step 4: Simplify right side
    90,406x = 4,746,586,218
  5. Step 5: Solve for x
    x = 4,746,586,218/90,406
  6. Step 6: Final answer
    x = 52,503

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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.