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Finding the Fourth Proportional to 139,597.60, 192,592.44 and 82,201.84

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Solution

The fourth proportional to 139,597.60, 192,592.44 and 82,201.84 is: 113,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,597.60 : 192,592.44 = 82,201.84 : x
  2. Step 2: Convert to fraction form
    139,597.60/192,592.44 = 82,201.84/x
  3. Step 3: Cross multiply
    139,597.60x = 192,592.44 × 82,201.84
  4. Step 4: Simplify right side
    139,597.60x = 15,831,452,938.09
  5. Step 5: Solve for x
    x = 15,831,452,938.09/139,597.60
  6. Step 6: Final answer
    x = 113,407.77

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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.