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Finding the Fourth Proportional to 139,054.12, 191,892.90 and 75,391.72

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Solution

The fourth proportional to 139,054.12, 191,892.90 and 75,391.72 is: 104,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,054.12 : 191,892.90 = 75,391.72 : x
  2. Step 2: Convert to fraction form
    139,054.12/191,892.90 = 75,391.72/x
  3. Step 3: Cross multiply
    139,054.12x = 191,892.90 × 75,391.72
  4. Step 4: Simplify right side
    139,054.12x = 14,467,135,786.79
  5. Step 5: Solve for x
    x = 14,467,135,786.79/139,054.12
  6. Step 6: Final answer
    x = 104,039.61

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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.