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Finding the Fourth Proportional to 148,923, 205,513.74 and 81,855

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Solution

The fourth proportional to 148,923, 205,513.74 and 81,855 is: 112,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,923 : 205,513.74 = 81,855 : x
  2. Step 2: Convert to fraction form
    148,923/205,513.74 = 81,855/x
  3. Step 3: Cross multiply
    148,923x = 205,513.74 × 81,855
  4. Step 4: Simplify right side
    148,923x = 16,822,327,187.70
  5. Step 5: Solve for x
    x = 16,822,327,187.70/148,923
  6. Step 6: Final answer
    x = 112,959.90

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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.