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Finding the Fourth Proportional to 197,423, 272,450.24 and 107,999

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Solution

The fourth proportional to 197,423, 272,450.24 and 107,999 is: 149,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,423 : 272,450.24 = 107,999 : x
  2. Step 2: Convert to fraction form
    197,423/272,450.24 = 107,999/x
  3. Step 3: Cross multiply
    197,423x = 272,450.24 × 107,999
  4. Step 4: Simplify right side
    197,423x = 29,424,353,469.76
  5. Step 5: Solve for x
    x = 29,424,353,469.76/197,423
  6. Step 6: Final answer
    x = 149,042.18

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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.