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Finding the Fourth Proportional to 90,064, 135,096 and 24,400

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Solution

The fourth proportional to 90,064, 135,096 and 24,400 is: 36,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,064 : 135,096 = 24,400 : x
  2. Step 2: Convert to fraction form
    90,064/135,096 = 24,400/x
  3. Step 3: Cross multiply
    90,064x = 135,096 × 24,400
  4. Step 4: Simplify right side
    90,064x = 3,296,342,400
  5. Step 5: Solve for x
    x = 3,296,342,400/90,064
  6. Step 6: Final answer
    x = 36,600

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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.