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Finding the Fourth Proportional to 194,664, 268,636.68 and 105,240

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Solution

The fourth proportional to 194,664, 268,636.68 and 105,240 is: 145,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,664 : 268,636.68 = 105,240 : x
  2. Step 2: Convert to fraction form
    194,664/268,636.68 = 105,240/x
  3. Step 3: Cross multiply
    194,664x = 268,636.68 × 105,240
  4. Step 4: Simplify right side
    194,664x = 28,271,324,203.20
  5. Step 5: Solve for x
    x = 28,271,324,203.20/194,664
  6. Step 6: Final answer
    x = 145,231.39

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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.