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Finding the Fourth Proportional to 148,922, 205,512.36 and 81,854

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Solution

The fourth proportional to 148,922, 205,512.36 and 81,854 is: 112,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,922 : 205,512.36 = 81,854 : x
  2. Step 2: Convert to fraction form
    148,922/205,512.36 = 81,854/x
  3. Step 3: Cross multiply
    148,922x = 205,512.36 × 81,854
  4. Step 4: Simplify right side
    148,922x = 16,822,008,715.44
  5. Step 5: Solve for x
    x = 16,822,008,715.44/148,922
  6. Step 6: Final answer
    x = 112,958.52

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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.