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Finding the Fourth Proportional to 218,390.30, 327,664.25 and 76,256.51

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Solution

The fourth proportional to 218,390.30, 327,664.25 and 76,256.51 is: 114,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,390.30 : 327,664.25 = 76,256.51 : x
  2. Step 2: Convert to fraction form
    218,390.30/327,664.25 = 76,256.51/x
  3. Step 3: Cross multiply
    218,390.30x = 327,664.25 × 76,256.51
  4. Step 4: Simplify right side
    218,390.30x = 24,986,530,137.16
  5. Step 5: Solve for x
    x = 24,986,530,137.16/218,390.30
  6. Step 6: Final answer
    x = 114,412.27

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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.