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Finding the Fourth Proportional to 189,190, 261,084 and 104,310.10

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Solution

The fourth proportional to 189,190, 261,084 and 104,310.10 is: 143,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,190 : 261,084 = 104,310.10 : x
  2. Step 2: Convert to fraction form
    189,190/261,084 = 104,310.10/x
  3. Step 3: Cross multiply
    189,190x = 261,084 × 104,310.10
  4. Step 4: Simplify right side
    189,190x = 27,233,698,148.40
  5. Step 5: Solve for x
    x = 27,233,698,148.40/189,190
  6. Step 6: Final answer
    x = 143,948.93

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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.