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Finding the Fourth Proportional to 66,713.86, 100,077.78 and 21,738.71

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Solution

The fourth proportional to 66,713.86, 100,077.78 and 21,738.71 is: 32,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,713.86 : 100,077.78 = 21,738.71 : x
  2. Step 2: Convert to fraction form
    66,713.86/100,077.78 = 21,738.71/x
  3. Step 3: Cross multiply
    66,713.86x = 100,077.78 × 21,738.71
  4. Step 4: Simplify right side
    66,713.86x = 2,175,562,172.80
  5. Step 5: Solve for x
    x = 2,175,562,172.80/66,713.86
  6. Step 6: Final answer
    x = 32,610.35

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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.