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Finding the Fourth Proportional to 194,842.50, 268,882.65 and 105,418.50

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Solution

The fourth proportional to 194,842.50, 268,882.65 and 105,418.50 is: 145,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,842.50 : 268,882.65 = 105,418.50 : x
  2. Step 2: Convert to fraction form
    194,842.50/268,882.65 = 105,418.50/x
  3. Step 3: Cross multiply
    194,842.50x = 268,882.65 × 105,418.50
  4. Step 4: Simplify right side
    194,842.50x = 28,345,205,639.03
  5. Step 5: Solve for x
    x = 28,345,205,639.03/194,842.50
  6. Step 6: Final answer
    x = 145,477.53

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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.