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Finding the Fourth Proportional to 77,782.75, 116,674.13 and 22,378.75

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Solution

The fourth proportional to 77,782.75, 116,674.13 and 22,378.75 is: 33,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,782.75 : 116,674.13 = 22,378.75 : x
  2. Step 2: Convert to fraction form
    77,782.75/116,674.13 = 22,378.75/x
  3. Step 3: Cross multiply
    77,782.75x = 116,674.13 × 22,378.75
  4. Step 4: Simplify right side
    77,782.75x = 2,611,021,074.84
  5. Step 5: Solve for x
    x = 2,611,021,074.84/77,782.75
  6. Step 6: Final answer
    x = 33,568.13

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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.