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Finding the Fourth Proportional to 139,432.28, 192,416.40 and 75,769.94

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Solution

The fourth proportional to 139,432.28, 192,416.40 and 75,769.94 is: 104,562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,432.28 : 192,416.40 = 75,769.94 : x
  2. Step 2: Convert to fraction form
    139,432.28/192,416.40 = 75,769.94/x
  3. Step 3: Cross multiply
    139,432.28x = 192,416.40 × 75,769.94
  4. Step 4: Simplify right side
    139,432.28x = 14,579,379,083.02
  5. Step 5: Solve for x
    x = 14,579,379,083.02/139,432.28
  6. Step 6: Final answer
    x = 104,562.44

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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.