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Finding the Fourth Proportional to 202,809.32, 303,999.46 and 76,394.87

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Solution

The fourth proportional to 202,809.32, 303,999.46 and 76,394.87 is: 114,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,809.32 : 303,999.46 = 76,394.87 : x
  2. Step 2: Convert to fraction form
    202,809.32/303,999.46 = 76,394.87/x
  3. Step 3: Cross multiply
    202,809.32x = 303,999.46 × 76,394.87
  4. Step 4: Simplify right side
    202,809.32x = 23,223,999,226.77
  5. Step 5: Solve for x
    x = 23,223,999,226.77/202,809.32
  6. Step 6: Final answer
    x = 114,511.50

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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.