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Finding the Fourth Proportional to 197,880, 273,074.40 and 108,454.08

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Solution

The fourth proportional to 197,880, 273,074.40 and 108,454.08 is: 149,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,880 : 273,074.40 = 108,454.08 : x
  2. Step 2: Convert to fraction form
    197,880/273,074.40 = 108,454.08/x
  3. Step 3: Cross multiply
    197,880x = 273,074.40 × 108,454.08
  4. Step 4: Simplify right side
    197,880x = 29,616,032,823.55
  5. Step 5: Solve for x
    x = 29,616,032,823.55/197,880
  6. Step 6: Final answer
    x = 149,666.63

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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.