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Finding the Fourth Proportional to 189,830.41, 261,954.71 and 104,942.41

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Solution

The fourth proportional to 189,830.41, 261,954.71 and 104,942.41 is: 144,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,830.41 : 261,954.71 = 104,942.41 : x
  2. Step 2: Convert to fraction form
    189,830.41/261,954.71 = 104,942.41/x
  3. Step 3: Cross multiply
    189,830.41x = 261,954.71 × 104,942.41
  4. Step 4: Simplify right side
    189,830.41x = 27,490,158,578.25
  5. Step 5: Solve for x
    x = 27,490,158,578.25/189,830.41
  6. Step 6: Final answer
    x = 144,814.30

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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.