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Finding the Fourth Proportional to 140,379.16, 193,723.74 and 76,716.94

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Solution

The fourth proportional to 140,379.16, 193,723.74 and 76,716.94 is: 105,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,379.16 : 193,723.74 = 76,716.94 : x
  2. Step 2: Convert to fraction form
    140,379.16/193,723.74 = 76,716.94/x
  3. Step 3: Cross multiply
    140,379.16x = 193,723.74 × 76,716.94
  4. Step 4: Simplify right side
    140,379.16x = 14,861,892,538.16
  5. Step 5: Solve for x
    x = 14,861,892,538.16/140,379.16
  6. Step 6: Final answer
    x = 105,869.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.