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Finding the Fourth Proportional to 65,782.80, 90,779.40 and 35,974.80

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Solution

The fourth proportional to 65,782.80, 90,779.40 and 35,974.80 is: 49,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,782.80 : 90,779.40 = 35,974.80 : x
  2. Step 2: Convert to fraction form
    65,782.80/90,779.40 = 35,974.80/x
  3. Step 3: Cross multiply
    65,782.80x = 90,779.40 × 35,974.80
  4. Step 4: Simplify right side
    65,782.80x = 3,265,770,759.12
  5. Step 5: Solve for x
    x = 3,265,770,759.12/65,782.80
  6. Step 6: Final answer
    x = 49,644.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.