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Finding the Fourth Proportional to 202,364.32, 303,698.24 and 76,128.80

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Solution

The fourth proportional to 202,364.32, 303,698.24 and 76,128.80 is: 114,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,364.32 : 303,698.24 = 76,128.80 : x
  2. Step 2: Convert to fraction form
    202,364.32/303,698.24 = 76,128.80/x
  3. Step 3: Cross multiply
    202,364.32x = 303,698.24 × 76,128.80
  4. Step 4: Simplify right side
    202,364.32x = 23,120,182,573.31
  5. Step 5: Solve for x
    x = 23,120,182,573.31/202,364.32
  6. Step 6: Final answer
    x = 114,250.29

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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.