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Finding the Fourth Proportional to 60,665, 90,997.50 and 16,889

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Solution

The fourth proportional to 60,665, 90,997.50 and 16,889 is: 25,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,665 : 90,997.50 = 16,889 : x
  2. Step 2: Convert to fraction form
    60,665/90,997.50 = 16,889/x
  3. Step 3: Cross multiply
    60,665x = 90,997.50 × 16,889
  4. Step 4: Simplify right side
    60,665x = 1,536,856,777.50
  5. Step 5: Solve for x
    x = 1,536,856,777.50/60,665
  6. Step 6: Final answer
    x = 25,333.50

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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.