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Finding the Fourth Proportional to 199,345.50, 275,096.79 and 109,921.50

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Solution

The fourth proportional to 199,345.50, 275,096.79 and 109,921.50 is: 151,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,345.50 : 275,096.79 = 109,921.50 : x
  2. Step 2: Convert to fraction form
    199,345.50/275,096.79 = 109,921.50/x
  3. Step 3: Cross multiply
    199,345.50x = 275,096.79 × 109,921.50
  4. Step 4: Simplify right side
    199,345.50x = 30,239,051,801.99
  5. Step 5: Solve for x
    x = 30,239,051,801.99/199,345.50
  6. Step 6: Final answer
    x = 151,691.67

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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.