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Finding the Fourth Proportional to 139,432.70, 192,416.21 and 75,770.49

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Solution

The fourth proportional to 139,432.70, 192,416.21 and 75,770.49 is: 104,562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,432.70 : 192,416.21 = 75,770.49 : x
  2. Step 2: Convert to fraction form
    139,432.70/192,416.21 = 75,770.49/x
  3. Step 3: Cross multiply
    139,432.70x = 192,416.21 × 75,770.49
  4. Step 4: Simplify right side
    139,432.70x = 14,579,470,136.79
  5. Step 5: Solve for x
    x = 14,579,470,136.79/139,432.70
  6. Step 6: Final answer
    x = 104,562.77

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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.