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Finding the Fourth Proportional to 202,581.63, 304,063.12 and 102,813.42

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Solution

The fourth proportional to 202,581.63, 304,063.12 and 102,813.42 is: 154,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,581.63 : 304,063.12 = 102,813.42 : x
  2. Step 2: Convert to fraction form
    202,581.63/304,063.12 = 102,813.42/x
  3. Step 3: Cross multiply
    202,581.63x = 304,063.12 × 102,813.42
  4. Step 4: Simplify right side
    202,581.63x = 31,261,770,531.82
  5. Step 5: Solve for x
    x = 31,261,770,531.82/202,581.63
  6. Step 6: Final answer
    x = 154,316.91

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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.