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Finding the Fourth Proportional to 197,910, 273,116.76 and 118,422

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Solution

The fourth proportional to 197,910, 273,116.76 and 118,422 is: 163,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,910 : 273,116.76 = 118,422 : x
  2. Step 2: Convert to fraction form
    197,910/273,116.76 = 118,422/x
  3. Step 3: Cross multiply
    197,910x = 273,116.76 × 118,422
  4. Step 4: Simplify right side
    197,910x = 32,343,032,952.72
  5. Step 5: Solve for x
    x = 32,343,032,952.72/197,910
  6. Step 6: Final answer
    x = 163,422.93

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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.