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Finding the Fourth Proportional to 139,207.14, 192,103.81 and 81,852.94

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Solution

The fourth proportional to 139,207.14, 192,103.81 and 81,852.94 is: 112,955.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,207.14 : 192,103.81 = 81,852.94 : x
  2. Step 2: Convert to fraction form
    139,207.14/192,103.81 = 81,852.94/x
  3. Step 3: Cross multiply
    139,207.14x = 192,103.81 × 81,852.94
  4. Step 4: Simplify right side
    139,207.14x = 15,724,261,633.70
  5. Step 5: Solve for x
    x = 15,724,261,633.70/139,207.14
  6. Step 6: Final answer
    x = 112,955.86

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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.