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Finding the Fourth Proportional to 77,322, 106,704.59 and 45,075.77

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Solution

The fourth proportional to 77,322, 106,704.59 and 45,075.77 is: 62,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,322 : 106,704.59 = 45,075.77 : x
  2. Step 2: Convert to fraction form
    77,322/106,704.59 = 45,075.77/x
  3. Step 3: Cross multiply
    77,322x = 106,704.59 × 45,075.77
  4. Step 4: Simplify right side
    77,322x = 4,809,790,797.88
  5. Step 5: Solve for x
    x = 4,809,790,797.88/77,322
  6. Step 6: Final answer
    x = 62,204.69

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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.