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Finding the Fourth Proportional to 139,473.30, 192,522.51 and 82,884

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Solution

The fourth proportional to 139,473.30, 192,522.51 and 82,884 is: 114,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,473.30 : 192,522.51 = 82,884 : x
  2. Step 2: Convert to fraction form
    139,473.30/192,522.51 = 82,884/x
  3. Step 3: Cross multiply
    139,473.30x = 192,522.51 × 82,884
  4. Step 4: Simplify right side
    139,473.30x = 15,957,035,718.84
  5. Step 5: Solve for x
    x = 15,957,035,718.84/139,473.30
  6. Step 6: Final answer
    x = 114,409.25

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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.