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Finding the Fourth Proportional to 200,137.32, 300,226.94 and 65,211.87

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Solution

The fourth proportional to 200,137.32, 300,226.94 and 65,211.87 is: 97,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,137.32 : 300,226.94 = 65,211.87 : x
  2. Step 2: Convert to fraction form
    200,137.32/300,226.94 = 65,211.87/x
  3. Step 3: Cross multiply
    200,137.32x = 300,226.94 × 65,211.87
  4. Step 4: Simplify right side
    200,137.32x = 19,578,359,855.72
  5. Step 5: Solve for x
    x = 19,578,359,855.72/200,137.32
  6. Step 6: Final answer
    x = 97,824.63

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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.