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Finding the Fourth Proportional to 218,054.46, 327,208.58 and 91,685.56

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Solution

The fourth proportional to 218,054.46, 327,208.58 and 91,685.56 is: 137,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,054.46 : 327,208.58 = 91,685.56 : x
  2. Step 2: Convert to fraction form
    218,054.46/327,208.58 = 91,685.56/x
  3. Step 3: Cross multiply
    218,054.46x = 327,208.58 × 91,685.56
  4. Step 4: Simplify right side
    218,054.46x = 30,000,301,894.10
  5. Step 5: Solve for x
    x = 30,000,301,894.10/218,054.46
  6. Step 6: Final answer
    x = 137,581.69

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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.