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Finding the Fourth Proportional to 139,238.22, 192,148.92 and 75,576

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Solution

The fourth proportional to 139,238.22, 192,148.92 and 75,576 is: 104,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,238.22 : 192,148.92 = 75,576 : x
  2. Step 2: Convert to fraction form
    139,238.22/192,148.92 = 75,576/x
  3. Step 3: Cross multiply
    139,238.22x = 192,148.92 × 75,576
  4. Step 4: Simplify right side
    139,238.22x = 14,521,846,777.92
  5. Step 5: Solve for x
    x = 14,521,846,777.92/139,238.22
  6. Step 6: Final answer
    x = 104,294.98

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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.