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Finding the Fourth Proportional to 188,648.94, 260,334.36 and 106,992.78

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Solution

The fourth proportional to 188,648.94, 260,334.36 and 106,992.78 is: 147,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,648.94 : 260,334.36 = 106,992.78 : x
  2. Step 2: Convert to fraction form
    188,648.94/260,334.36 = 106,992.78/x
  3. Step 3: Cross multiply
    188,648.94x = 260,334.36 × 106,992.78
  4. Step 4: Simplify right side
    188,648.94x = 27,853,896,905.92
  5. Step 5: Solve for x
    x = 27,853,896,905.92/188,648.94
  6. Step 6: Final answer
    x = 147,649.37

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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.