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Finding the Fourth Proportional to 77,782.88, 116,674.32 and 22,378.88

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Solution

The fourth proportional to 77,782.88, 116,674.32 and 22,378.88 is: 33,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,782.88 : 116,674.32 = 22,378.88 : x
  2. Step 2: Convert to fraction form
    77,782.88/116,674.32 = 22,378.88/x
  3. Step 3: Cross multiply
    77,782.88x = 116,674.32 × 22,378.88
  4. Step 4: Simplify right side
    77,782.88x = 2,611,040,022.99
  5. Step 5: Solve for x
    x = 2,611,040,022.99/77,782.88
  6. Step 6: Final answer
    x = 33,568.31

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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.