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Finding the Fourth Proportional to 218,667.60, 327,888 and 100,236.96

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Solution

The fourth proportional to 218,667.60, 327,888 and 100,236.96 is: 150,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,667.60 : 327,888 = 100,236.96 : x
  2. Step 2: Convert to fraction form
    218,667.60/327,888 = 100,236.96/x
  3. Step 3: Cross multiply
    218,667.60x = 327,888 × 100,236.96
  4. Step 4: Simplify right side
    218,667.60x = 32,866,496,340.48
  5. Step 5: Solve for x
    x = 32,866,496,340.48/218,667.60
  6. Step 6: Final answer
    x = 150,303.46

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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.