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Finding the Fourth Proportional to 202,206.51, 303,309.77 and 69,087.87

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Solution

The fourth proportional to 202,206.51, 303,309.77 and 69,087.87 is: 103,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,206.51 : 303,309.77 = 69,087.87 : x
  2. Step 2: Convert to fraction form
    202,206.51/303,309.77 = 69,087.87/x
  3. Step 3: Cross multiply
    202,206.51x = 303,309.77 × 69,087.87
  4. Step 4: Simplify right side
    202,206.51x = 20,955,025,614.05
  5. Step 5: Solve for x
    x = 20,955,025,614.05/202,206.51
  6. Step 6: Final answer
    x = 103,631.81

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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.