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Finding the Fourth Proportional to 199,709.79, 275,601.36 and 113,664.56

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Solution

The fourth proportional to 199,709.79, 275,601.36 and 113,664.56 is: 156,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,709.79 : 275,601.36 = 113,664.56 : x
  2. Step 2: Convert to fraction form
    199,709.79/275,601.36 = 113,664.56/x
  3. Step 3: Cross multiply
    199,709.79x = 275,601.36 × 113,664.56
  4. Step 4: Simplify right side
    199,709.79x = 31,326,105,941.79
  5. Step 5: Solve for x
    x = 31,326,105,941.79/199,709.79
  6. Step 6: Final answer
    x = 156,858.14

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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.