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Finding the Fourth Proportional to 202,435.30, 303,836.55 and 102,664.90

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Solution

The fourth proportional to 202,435.30, 303,836.55 and 102,664.90 is: 154,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,435.30 : 303,836.55 = 102,664.90 : x
  2. Step 2: Convert to fraction form
    202,435.30/303,836.55 = 102,664.90/x
  3. Step 3: Cross multiply
    202,435.30x = 303,836.55 × 102,664.90
  4. Step 4: Simplify right side
    202,435.30x = 31,193,349,022.10
  5. Step 5: Solve for x
    x = 31,193,349,022.10/202,435.30
  6. Step 6: Final answer
    x = 154,090.46

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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.