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Finding the Fourth Proportional to 218,460.62, 327,735.65 and 83,515.12

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Solution

The fourth proportional to 218,460.62, 327,735.65 and 83,515.12 is: 125,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,460.62 : 327,735.65 = 83,515.12 : x
  2. Step 2: Convert to fraction form
    218,460.62/327,735.65 = 83,515.12/x
  3. Step 3: Cross multiply
    218,460.62x = 327,735.65 × 83,515.12
  4. Step 4: Simplify right side
    218,460.62x = 27,370,881,527.48
  5. Step 5: Solve for x
    x = 27,370,881,527.48/218,460.62
  6. Step 6: Final answer
    x = 125,289.77

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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.