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Finding the Fourth Proportional to 202,342.80, 303,514.20 and 69,211.20

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Solution

The fourth proportional to 202,342.80, 303,514.20 and 69,211.20 is: 103,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,342.80 : 303,514.20 = 69,211.20 : x
  2. Step 2: Convert to fraction form
    202,342.80/303,514.20 = 69,211.20/x
  3. Step 3: Cross multiply
    202,342.80x = 303,514.20 × 69,211.20
  4. Step 4: Simplify right side
    202,342.80x = 21,006,581,999.04
  5. Step 5: Solve for x
    x = 21,006,581,999.04/202,342.80
  6. Step 6: Final answer
    x = 103,816.80

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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.