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Finding the Fourth Proportional to 210,367.50, 315,729.60 and 84,096.91

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Solution

The fourth proportional to 210,367.50, 315,729.60 and 84,096.91 is: 126,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,367.50 : 315,729.60 = 84,096.91 : x
  2. Step 2: Convert to fraction form
    210,367.50/315,729.60 = 84,096.91/x
  3. Step 3: Cross multiply
    210,367.50x = 315,729.60 × 84,096.91
  4. Step 4: Simplify right side
    210,367.50x = 26,551,883,755.54
  5. Step 5: Solve for x
    x = 26,551,883,755.54/210,367.50
  6. Step 6: Final answer
    x = 126,216.66

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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.