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Finding the Fourth Proportional to 139,022.50, 191,849.97 and 75,358.66

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Solution

The fourth proportional to 139,022.50, 191,849.97 and 75,358.66 is: 103,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,022.50 : 191,849.97 = 75,358.66 : x
  2. Step 2: Convert to fraction form
    139,022.50/191,849.97 = 75,358.66/x
  3. Step 3: Cross multiply
    139,022.50x = 191,849.97 × 75,358.66
  4. Step 4: Simplify right side
    139,022.50x = 14,457,556,660.24
  5. Step 5: Solve for x
    x = 14,457,556,660.24/139,022.50
  6. Step 6: Final answer
    x = 103,994.37

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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.