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Finding the Fourth Proportional to 189,626.63, 261,682.48 and 103,584.56

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Solution

The fourth proportional to 189,626.63, 261,682.48 and 103,584.56 is: 142,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,626.63 : 261,682.48 = 103,584.56 : x
  2. Step 2: Convert to fraction form
    189,626.63/261,682.48 = 103,584.56/x
  3. Step 3: Cross multiply
    189,626.63x = 261,682.48 × 103,584.56
  4. Step 4: Simplify right side
    189,626.63x = 27,106,264,550.51
  5. Step 5: Solve for x
    x = 27,106,264,550.51/189,626.63
  6. Step 6: Final answer
    x = 142,945.45

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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.