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Finding the Fourth Proportional to 204,450.51, 306,807 and 99,212.07

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Solution

The fourth proportional to 204,450.51, 306,807 and 99,212.07 is: 148,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,450.51 : 306,807 = 99,212.07 : x
  2. Step 2: Convert to fraction form
    204,450.51/306,807 = 99,212.07/x
  3. Step 3: Cross multiply
    204,450.51x = 306,807 × 99,212.07
  4. Step 4: Simplify right side
    204,450.51x = 30,438,957,560.49
  5. Step 5: Solve for x
    x = 30,438,957,560.49/204,450.51
  6. Step 6: Final answer
    x = 148,881.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.