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Finding the Fourth Proportional to 253,782.80, 380,643.80 and 66,809.04

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Solution

The fourth proportional to 253,782.80, 380,643.80 and 66,809.04 is: 100,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,782.80 : 380,643.80 = 66,809.04 : x
  2. Step 2: Convert to fraction form
    253,782.80/380,643.80 = 66,809.04/x
  3. Step 3: Cross multiply
    253,782.80x = 380,643.80 × 66,809.04
  4. Step 4: Simplify right side
    253,782.80x = 25,430,446,859.95
  5. Step 5: Solve for x
    x = 25,430,446,859.95/253,782.80
  6. Step 6: Final answer
    x = 100,205.56

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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.