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Finding the Fourth Proportional to 139,234.20, 192,143.42 and 75,572

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Solution

The fourth proportional to 139,234.20, 192,143.42 and 75,572 is: 104,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,234.20 : 192,143.42 = 75,572 : x
  2. Step 2: Convert to fraction form
    139,234.20/192,143.42 = 75,572/x
  3. Step 3: Cross multiply
    139,234.20x = 192,143.42 × 75,572
  4. Step 4: Simplify right side
    139,234.20x = 14,520,662,536.24
  5. Step 5: Solve for x
    x = 14,520,662,536.24/139,234.20
  6. Step 6: Final answer
    x = 104,289.48

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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.