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Finding the Fourth Proportional to 202,004.10, 303,006.15 and 89,640.90

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Solution

The fourth proportional to 202,004.10, 303,006.15 and 89,640.90 is: 134,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,004.10 : 303,006.15 = 89,640.90 : x
  2. Step 2: Convert to fraction form
    202,004.10/303,006.15 = 89,640.90/x
  3. Step 3: Cross multiply
    202,004.10x = 303,006.15 × 89,640.90
  4. Step 4: Simplify right side
    202,004.10x = 27,161,743,991.54
  5. Step 5: Solve for x
    x = 27,161,743,991.54/202,004.10
  6. Step 6: Final answer
    x = 134,461.35

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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.