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Finding the Fourth Proportional to 81,524.78, 122,197.40 and 61,470

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Solution

The fourth proportional to 81,524.78, 122,197.40 and 61,470 is: 92,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,524.78 : 122,197.40 = 61,470 : x
  2. Step 2: Convert to fraction form
    81,524.78/122,197.40 = 61,470/x
  3. Step 3: Cross multiply
    81,524.78x = 122,197.40 × 61,470
  4. Step 4: Simplify right side
    81,524.78x = 7,511,474,178
  5. Step 5: Solve for x
    x = 7,511,474,178/81,524.78
  6. Step 6: Final answer
    x = 92,137.31

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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.