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Finding the Fourth Proportional to 189,910.74, 262,072.35 and 105,025.98

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Solution

The fourth proportional to 189,910.74, 262,072.35 and 105,025.98 is: 144,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,910.74 : 262,072.35 = 105,025.98 : x
  2. Step 2: Convert to fraction form
    189,910.74/262,072.35 = 105,025.98/x
  3. Step 3: Cross multiply
    189,910.74x = 262,072.35 × 105,025.98
  4. Step 4: Simplify right side
    189,910.74x = 27,524,405,389.65
  5. Step 5: Solve for x
    x = 27,524,405,389.65/189,910.74
  6. Step 6: Final answer
    x = 144,933.38

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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.