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Finding the Fourth Proportional to 111,643.20, 167,479.32 and 36,771

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Solution

The fourth proportional to 111,643.20, 167,479.32 and 36,771 is: 55,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,643.20 : 167,479.32 = 36,771 : x
  2. Step 2: Convert to fraction form
    111,643.20/167,479.32 = 36,771/x
  3. Step 3: Cross multiply
    111,643.20x = 167,479.32 × 36,771
  4. Step 4: Simplify right side
    111,643.20x = 6,158,382,075.72
  5. Step 5: Solve for x
    x = 6,158,382,075.72/111,643.20
  6. Step 6: Final answer
    x = 55,161.28

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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.