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Finding the Fourth Proportional to 197,208, 295,812 and 65,880

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Solution

The fourth proportional to 197,208, 295,812 and 65,880 is: 98,820

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,208 : 295,812 = 65,880 : x
  2. Step 2: Convert to fraction form
    197,208/295,812 = 65,880/x
  3. Step 3: Cross multiply
    197,208x = 295,812 × 65,880
  4. Step 4: Simplify right side
    197,208x = 19,488,094,560
  5. Step 5: Solve for x
    x = 19,488,094,560/197,208
  6. Step 6: Final answer
    x = 98,820

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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.