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Finding the Fourth Proportional to 199,867.78, 275,728.94 and 119,248.43

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Solution

The fourth proportional to 199,867.78, 275,728.94 and 119,248.43 is: 164,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,867.78 : 275,728.94 = 119,248.43 : x
  2. Step 2: Convert to fraction form
    199,867.78/275,728.94 = 119,248.43/x
  3. Step 3: Cross multiply
    199,867.78x = 275,728.94 × 119,248.43
  4. Step 4: Simplify right side
    199,867.78x = 32,880,243,200.56
  5. Step 5: Solve for x
    x = 32,880,243,200.56/199,867.78
  6. Step 6: Final answer
    x = 164,509.97

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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.