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Finding the Fourth Proportional to 218,391.80, 327,666.51 and 76,258.01

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Solution

The fourth proportional to 218,391.80, 327,666.51 and 76,258.01 is: 114,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,391.80 : 327,666.51 = 76,258.01 : x
  2. Step 2: Convert to fraction form
    218,391.80/327,666.51 = 76,258.01/x
  3. Step 3: Cross multiply
    218,391.80x = 327,666.51 × 76,258.01
  4. Step 4: Simplify right side
    218,391.80x = 24,987,196,815.41
  5. Step 5: Solve for x
    x = 24,987,196,815.41/218,391.80
  6. Step 6: Final answer
    x = 114,414.54

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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.