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Finding the Fourth Proportional to 139,206.14, 192,102.43 and 81,851.94

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Solution

The fourth proportional to 139,206.14, 192,102.43 and 81,851.94 is: 112,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,206.14 : 192,102.43 = 81,851.94 : x
  2. Step 2: Convert to fraction form
    139,206.14/192,102.43 = 81,851.94/x
  3. Step 3: Cross multiply
    139,206.14x = 192,102.43 × 81,851.94
  4. Step 4: Simplify right side
    139,206.14x = 15,723,956,574.21
  5. Step 5: Solve for x
    x = 15,723,956,574.21/139,206.14
  6. Step 6: Final answer
    x = 112,954.48

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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.