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Finding the Fourth Proportional to 66,984.86, 100,477.26 and 52,204.82

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Solution

The fourth proportional to 66,984.86, 100,477.26 and 52,204.82 is: 78,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,984.86 : 100,477.26 = 52,204.82 : x
  2. Step 2: Convert to fraction form
    66,984.86/100,477.26 = 52,204.82/x
  3. Step 3: Cross multiply
    66,984.86x = 100,477.26 × 52,204.82
  4. Step 4: Simplify right side
    66,984.86x = 5,245,397,272.39
  5. Step 5: Solve for x
    x = 5,245,397,272.39/66,984.86
  6. Step 6: Final answer
    x = 78,307.21

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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.