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Finding the Fourth Proportional to 139,757.92, 192,835.92 and 83,158.24

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Solution

The fourth proportional to 139,757.92, 192,835.92 and 83,158.24 is: 114,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,757.92 : 192,835.92 = 83,158.24 : x
  2. Step 2: Convert to fraction form
    139,757.92/192,835.92 = 83,158.24/x
  3. Step 3: Cross multiply
    139,757.92x = 192,835.92 × 83,158.24
  4. Step 4: Simplify right side
    139,757.92x = 16,035,895,715.98
  5. Step 5: Solve for x
    x = 16,035,895,715.98/139,757.92
  6. Step 6: Final answer
    x = 114,740.51

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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.