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Finding the Fourth Proportional to 197,911, 273,118.14 and 118,423

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Solution

The fourth proportional to 197,911, 273,118.14 and 118,423 is: 163,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,911 : 273,118.14 = 118,423 : x
  2. Step 2: Convert to fraction form
    197,911/273,118.14 = 118,423/x
  3. Step 3: Cross multiply
    197,911x = 273,118.14 × 118,423
  4. Step 4: Simplify right side
    197,911x = 32,343,469,493.22
  5. Step 5: Solve for x
    x = 32,343,469,493.22/197,911
  6. Step 6: Final answer
    x = 163,424.31

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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.