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Finding the Fourth Proportional to 202,364.38, 303,561.28 and 77,705.38

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Solution

The fourth proportional to 202,364.38, 303,561.28 and 77,705.38 is: 116,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,364.38 : 303,561.28 = 77,705.38 : x
  2. Step 2: Convert to fraction form
    202,364.38/303,561.28 = 77,705.38/x
  3. Step 3: Cross multiply
    202,364.38x = 303,561.28 × 77,705.38
  4. Step 4: Simplify right side
    202,364.38x = 23,588,344,615.69
  5. Step 5: Solve for x
    x = 23,588,344,615.69/202,364.38
  6. Step 6: Final answer
    x = 116,563.72

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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.