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Finding the Fourth Proportional to 197,258, 295,887 and 65,930

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Solution

The fourth proportional to 197,258, 295,887 and 65,930 is: 98,895

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,258 : 295,887 = 65,930 : x
  2. Step 2: Convert to fraction form
    197,258/295,887 = 65,930/x
  3. Step 3: Cross multiply
    197,258x = 295,887 × 65,930
  4. Step 4: Simplify right side
    197,258x = 19,507,829,910
  5. Step 5: Solve for x
    x = 19,507,829,910/197,258
  6. Step 6: Final answer
    x = 98,895

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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.