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Finding the Fourth Proportional to 202,364.25, 303,561.36 and 77,705.25

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Solution

The fourth proportional to 202,364.25, 303,561.36 and 77,705.25 is: 116,563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,364.25 : 303,561.36 = 77,705.25 : x
  2. Step 2: Convert to fraction form
    202,364.25/303,561.36 = 77,705.25/x
  3. Step 3: Cross multiply
    202,364.25x = 303,561.36 × 77,705.25
  4. Step 4: Simplify right side
    202,364.25x = 23,588,311,369.14
  5. Step 5: Solve for x
    x = 23,588,311,369.14/202,364.25
  6. Step 6: Final answer
    x = 116,563.63

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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.