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Finding the Fourth Proportional to 218,102.51, 327,019.82 and 84,827.48

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Solution

The fourth proportional to 218,102.51, 327,019.82 and 84,827.48 is: 127,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,102.51 : 327,019.82 = 84,827.48 : x
  2. Step 2: Convert to fraction form
    218,102.51/327,019.82 = 84,827.48/x
  3. Step 3: Cross multiply
    218,102.51x = 327,019.82 × 84,827.48
  4. Step 4: Simplify right side
    218,102.51x = 27,740,265,181.42
  5. Step 5: Solve for x
    x = 27,740,265,181.42/218,102.51
  6. Step 6: Final answer
    x = 127,189.11

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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.