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Finding the Fourth Proportional to 189,859.55, 262,005.03 and 104,976

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Solution

The fourth proportional to 189,859.55, 262,005.03 and 104,976 is: 144,866.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,859.55 : 262,005.03 = 104,976 : x
  2. Step 2: Convert to fraction form
    189,859.55/262,005.03 = 104,976/x
  3. Step 3: Cross multiply
    189,859.55x = 262,005.03 × 104,976
  4. Step 4: Simplify right side
    189,859.55x = 27,504,240,029.28
  5. Step 5: Solve for x
    x = 27,504,240,029.28/189,859.55
  6. Step 6: Final answer
    x = 144,866.25

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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.