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Finding the Fourth Proportional to 194,559, 268,491.42 and 105,135

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Solution

The fourth proportional to 194,559, 268,491.42 and 105,135 is: 145,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,559 : 268,491.42 = 105,135 : x
  2. Step 2: Convert to fraction form
    194,559/268,491.42 = 105,135/x
  3. Step 3: Cross multiply
    194,559x = 268,491.42 × 105,135
  4. Step 4: Simplify right side
    194,559x = 28,227,845,441.70
  5. Step 5: Solve for x
    x = 28,227,845,441.70/194,559
  6. Step 6: Final answer
    x = 145,086.30

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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.