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Finding the Fourth Proportional to 66,512.10, 99,769 and 22,138.86

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Solution

The fourth proportional to 66,512.10, 99,769 and 22,138.86 is: 33,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,512.10 : 99,769 = 22,138.86 : x
  2. Step 2: Convert to fraction form
    66,512.10/99,769 = 22,138.86/x
  3. Step 3: Cross multiply
    66,512.10x = 99,769 × 22,138.86
  4. Step 4: Simplify right side
    66,512.10x = 2,208,771,923.34
  5. Step 5: Solve for x
    x = 2,208,771,923.34/66,512.10
  6. Step 6: Final answer
    x = 33,208.57

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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.