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Finding the Fourth Proportional to 218,302.85, 327,495.89 and 76,188.72

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Solution

The fourth proportional to 218,302.85, 327,495.89 and 76,188.72 is: 114,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,302.85 : 327,495.89 = 76,188.72 : x
  2. Step 2: Convert to fraction form
    218,302.85/327,495.89 = 76,188.72/x
  3. Step 3: Cross multiply
    218,302.85x = 327,495.89 × 76,188.72
  4. Step 4: Simplify right side
    218,302.85x = 24,951,492,854.83
  5. Step 5: Solve for x
    x = 24,951,492,854.83/218,302.85
  6. Step 6: Final answer
    x = 114,297.61

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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.