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Finding the Fourth Proportional to 218,120.46, 327,117.47 and 84,971.04

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Solution

The fourth proportional to 218,120.46, 327,117.47 and 84,971.04 is: 127,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,120.46 : 327,117.47 = 84,971.04 : x
  2. Step 2: Convert to fraction form
    218,120.46/327,117.47 = 84,971.04/x
  3. Step 3: Cross multiply
    218,120.46x = 327,117.47 × 84,971.04
  4. Step 4: Simplify right side
    218,120.46x = 27,795,511,203.21
  5. Step 5: Solve for x
    x = 27,795,511,203.21/218,120.46
  6. Step 6: Final answer
    x = 127,431.93

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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.