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Finding the Fourth Proportional to 197,179, 272,107.02 and 107,755

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Solution

The fourth proportional to 197,179, 272,107.02 and 107,755 is: 148,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,179 : 272,107.02 = 107,755 : x
  2. Step 2: Convert to fraction form
    197,179/272,107.02 = 107,755/x
  3. Step 3: Cross multiply
    197,179x = 272,107.02 × 107,755
  4. Step 4: Simplify right side
    197,179x = 29,320,891,940.10
  5. Step 5: Solve for x
    x = 29,320,891,940.10/197,179
  6. Step 6: Final answer
    x = 148,701.90

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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.