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Finding the Fourth Proportional to 218,923.50, 328,321.86 and 74,814.78

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Solution

The fourth proportional to 218,923.50, 328,321.86 and 74,814.78 is: 112,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,923.50 : 328,321.86 = 74,814.78 : x
  2. Step 2: Convert to fraction form
    218,923.50/328,321.86 = 74,814.78/x
  3. Step 3: Cross multiply
    218,923.50x = 328,321.86 × 74,814.78
  4. Step 4: Simplify right side
    218,923.50x = 24,563,327,725.09
  5. Step 5: Solve for x
    x = 24,563,327,725.09/218,923.50
  6. Step 6: Final answer
    x = 112,200.51

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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.