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Finding the Fourth Proportional to 139,464.64, 192,402.30 and 82,865.08

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Solution

The fourth proportional to 139,464.64, 192,402.30 and 82,865.08 is: 114,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,464.64 : 192,402.30 = 82,865.08 : x
  2. Step 2: Convert to fraction form
    139,464.64/192,402.30 = 82,865.08/x
  3. Step 3: Cross multiply
    139,464.64x = 192,402.30 × 82,865.08
  4. Step 4: Simplify right side
    139,464.64x = 15,943,431,981.68
  5. Step 5: Solve for x
    x = 15,943,431,981.68/139,464.64
  6. Step 6: Final answer
    x = 114,318.81

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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.