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Finding the Fourth Proportional to 139,804.68, 192,932.64 and 76,142.42

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Solution

The fourth proportional to 139,804.68, 192,932.64 and 76,142.42 is: 105,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,804.68 : 192,932.64 = 76,142.42 : x
  2. Step 2: Convert to fraction form
    139,804.68/192,932.64 = 76,142.42/x
  3. Step 3: Cross multiply
    139,804.68x = 192,932.64 × 76,142.42
  4. Step 4: Simplify right side
    139,804.68x = 14,690,358,106.59
  5. Step 5: Solve for x
    x = 14,690,358,106.59/139,804.68
  6. Step 6: Final answer
    x = 105,077.73

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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.