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Finding the Fourth Proportional to 139,576.42, 192,609.90 and 75,914.26

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Solution

The fourth proportional to 139,576.42, 192,609.90 and 75,914.26 is: 104,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,576.42 : 192,609.90 = 75,914.26 : x
  2. Step 2: Convert to fraction form
    139,576.42/192,609.90 = 75,914.26/x
  3. Step 3: Cross multiply
    139,576.42x = 192,609.90 × 75,914.26
  4. Step 4: Simplify right side
    139,576.42x = 14,621,838,027.17
  5. Step 5: Solve for x
    x = 14,621,838,027.17/139,576.42
  6. Step 6: Final answer
    x = 104,758.65

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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.