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Finding the Fourth Proportional to 202,561.42, 303,679.30 and 139,193.78

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Solution

The fourth proportional to 202,561.42, 303,679.30 and 139,193.78 is: 208,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,561.42 : 303,679.30 = 139,193.78 : x
  2. Step 2: Convert to fraction form
    202,561.42/303,679.30 = 139,193.78/x
  3. Step 3: Cross multiply
    202,561.42x = 303,679.30 × 139,193.78
  4. Step 4: Simplify right side
    202,561.42x = 42,270,269,741.99
  5. Step 5: Solve for x
    x = 42,270,269,741.99/202,561.42
  6. Step 6: Final answer
    x = 208,678.78

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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.