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Finding the Fourth Proportional to 148,804.62, 205,351.86 and 80,822.94

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Solution

The fourth proportional to 148,804.62, 205,351.86 and 80,822.94 is: 111,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,804.62 : 205,351.86 = 80,822.94 : x
  2. Step 2: Convert to fraction form
    148,804.62/205,351.86 = 80,822.94/x
  3. Step 3: Cross multiply
    148,804.62x = 205,351.86 × 80,822.94
  4. Step 4: Simplify right side
    148,804.62x = 16,597,141,059.67
  5. Step 5: Solve for x
    x = 16,597,141,059.67/148,804.62
  6. Step 6: Final answer
    x = 111,536.46

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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.