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Finding the Fourth Proportional to 90,270, 135,405 and 24,606

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Solution

The fourth proportional to 90,270, 135,405 and 24,606 is: 36,909

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,270 : 135,405 = 24,606 : x
  2. Step 2: Convert to fraction form
    90,270/135,405 = 24,606/x
  3. Step 3: Cross multiply
    90,270x = 135,405 × 24,606
  4. Step 4: Simplify right side
    90,270x = 3,331,775,430
  5. Step 5: Solve for x
    x = 3,331,775,430/90,270
  6. Step 6: Final answer
    x = 36,909

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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.