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Finding the Fourth Proportional to 218,532.80, 327,848.52 and 66,743.48

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Solution

The fourth proportional to 218,532.80, 327,848.52 and 66,743.48 is: 100,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,532.80 : 327,848.52 = 66,743.48 : x
  2. Step 2: Convert to fraction form
    218,532.80/327,848.52 = 66,743.48/x
  3. Step 3: Cross multiply
    218,532.80x = 327,848.52 × 66,743.48
  4. Step 4: Simplify right side
    218,532.80x = 21,881,751,137.65
  5. Step 5: Solve for x
    x = 21,881,751,137.65/218,532.80
  6. Step 6: Final answer
    x = 100,130.28

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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.