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Finding the Fourth Proportional to 194,673.50, 268,649.49 and 105,249.50

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Solution

The fourth proportional to 194,673.50, 268,649.49 and 105,249.50 is: 145,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,673.50 : 268,649.49 = 105,249.50 : x
  2. Step 2: Convert to fraction form
    194,673.50/268,649.49 = 105,249.50/x
  3. Step 3: Cross multiply
    194,673.50x = 268,649.49 × 105,249.50
  4. Step 4: Simplify right side
    194,673.50x = 28,275,224,497.76
  5. Step 5: Solve for x
    x = 28,275,224,497.76/194,673.50
  6. Step 6: Final answer
    x = 145,244.34

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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.