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Finding the Fourth Proportional to 50,978.36, 76,450.20 and 19,380.80

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Solution

The fourth proportional to 50,978.36, 76,450.20 and 19,380.80 is: 29,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,978.36 : 76,450.20 = 19,380.80 : x
  2. Step 2: Convert to fraction form
    50,978.36/76,450.20 = 19,380.80/x
  3. Step 3: Cross multiply
    50,978.36x = 76,450.20 × 19,380.80
  4. Step 4: Simplify right side
    50,978.36x = 1,481,666,036.16
  5. Step 5: Solve for x
    x = 1,481,666,036.16/50,978.36
  6. Step 6: Final answer
    x = 29,064.61

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1.5x scale

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.