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Finding the Fourth Proportional to 218,083.68, 327,121.59 and 118,875.30

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Solution

The fourth proportional to 218,083.68, 327,121.59 and 118,875.30 is: 178,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,083.68 : 327,121.59 = 118,875.30 : x
  2. Step 2: Convert to fraction form
    218,083.68/327,121.59 = 118,875.30/x
  3. Step 3: Cross multiply
    218,083.68x = 327,121.59 × 118,875.30
  4. Step 4: Simplify right side
    218,083.68x = 38,886,677,147.73
  5. Step 5: Solve for x
    x = 38,886,677,147.73/218,083.68
  6. Step 6: Final answer
    x = 178,310.81

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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.