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Finding the Fourth Proportional to 200,365.92, 300,436.29 and 137,257.20

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Solution

The fourth proportional to 200,365.92, 300,436.29 and 137,257.20 is: 205,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,365.92 : 300,436.29 = 137,257.20 : x
  2. Step 2: Convert to fraction form
    200,365.92/300,436.29 = 137,257.20/x
  3. Step 3: Cross multiply
    200,365.92x = 300,436.29 × 137,257.20
  4. Step 4: Simplify right side
    200,365.92x = 41,237,043,943.79
  5. Step 5: Solve for x
    x = 41,237,043,943.79/200,365.92
  6. Step 6: Final answer
    x = 205,808.67

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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.