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Finding the Fourth Proportional to 139,893.92, 193,053.52 and 76,231.64

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Solution

The fourth proportional to 139,893.92, 193,053.52 and 76,231.64 is: 105,199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,893.92 : 193,053.52 = 76,231.64 : x
  2. Step 2: Convert to fraction form
    139,893.92/193,053.52 = 76,231.64/x
  3. Step 3: Cross multiply
    139,893.92x = 193,053.52 × 76,231.64
  4. Step 4: Simplify right side
    139,893.92x = 14,716,786,437.37
  5. Step 5: Solve for x
    x = 14,716,786,437.37/139,893.92
  6. Step 6: Final answer
    x = 105,199.61

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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.