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Finding the Fourth Proportional to 138,958.34, 191,762.03 and 75,295.98

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Solution

The fourth proportional to 138,958.34, 191,762.03 and 75,295.98 is: 103,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,958.34 : 191,762.03 = 75,295.98 : x
  2. Step 2: Convert to fraction form
    138,958.34/191,762.03 = 75,295.98/x
  3. Step 3: Cross multiply
    138,958.34x = 191,762.03 × 75,295.98
  4. Step 4: Simplify right side
    138,958.34x = 14,438,910,163.88
  5. Step 5: Solve for x
    x = 14,438,910,163.88/138,958.34
  6. Step 6: Final answer
    x = 103,908.20

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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.