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Finding the Fourth Proportional to 151,311, 208,815.66 and 84,243

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Solution

The fourth proportional to 151,311, 208,815.66 and 84,243 is: 116,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,311 : 208,815.66 = 84,243 : x
  2. Step 2: Convert to fraction form
    151,311/208,815.66 = 84,243/x
  3. Step 3: Cross multiply
    151,311x = 208,815.66 × 84,243
  4. Step 4: Simplify right side
    151,311x = 17,591,257,645.38
  5. Step 5: Solve for x
    x = 17,591,257,645.38/151,311
  6. Step 6: Final answer
    x = 116,258.95

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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.