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Finding the Fourth Proportional to 76,801, 115,201.50 and 18,433

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Solution

The fourth proportional to 76,801, 115,201.50 and 18,433 is: 27,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,801 : 115,201.50 = 18,433 : x
  2. Step 2: Convert to fraction form
    76,801/115,201.50 = 18,433/x
  3. Step 3: Cross multiply
    76,801x = 115,201.50 × 18,433
  4. Step 4: Simplify right side
    76,801x = 2,123,509,249.50
  5. Step 5: Solve for x
    x = 2,123,509,249.50/76,801
  6. Step 6: Final answer
    x = 27,649.50

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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.