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Finding the Fourth Proportional to 218,148, 327,046.56 and 123,319.68

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Solution

The fourth proportional to 218,148, 327,046.56 and 123,319.68 is: 184,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,148 : 327,046.56 = 123,319.68 : x
  2. Step 2: Convert to fraction form
    218,148/327,046.56 = 123,319.68/x
  3. Step 3: Cross multiply
    218,148x = 327,046.56 × 123,319.68
  4. Step 4: Simplify right side
    218,148x = 40,331,277,124.30
  5. Step 5: Solve for x
    x = 40,331,277,124.30/218,148
  6. Step 6: Final answer
    x = 184,880.34

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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.