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Finding the Fourth Proportional to 218,188.32, 327,317.34 and 76,074.50

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Solution

The fourth proportional to 218,188.32, 327,317.34 and 76,074.50 is: 114,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,188.32 : 327,317.34 = 76,074.50 : x
  2. Step 2: Convert to fraction form
    218,188.32/327,317.34 = 76,074.50/x
  3. Step 3: Cross multiply
    218,188.32x = 327,317.34 × 76,074.50
  4. Step 4: Simplify right side
    218,188.32x = 24,900,501,345.24
  5. Step 5: Solve for x
    x = 24,900,501,345.24/218,188.32
  6. Step 6: Final answer
    x = 114,123.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.