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Finding the Fourth Proportional to 189,202.59, 261,086.40 and 106,428.96

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Solution

The fourth proportional to 189,202.59, 261,086.40 and 106,428.96 is: 146,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,202.59 : 261,086.40 = 106,428.96 : x
  2. Step 2: Convert to fraction form
    189,202.59/261,086.40 = 106,428.96/x
  3. Step 3: Cross multiply
    189,202.59x = 261,086.40 × 106,428.96
  4. Step 4: Simplify right side
    189,202.59x = 27,787,154,022.14
  5. Step 5: Solve for x
    x = 27,787,154,022.14/189,202.59
  6. Step 6: Final answer
    x = 146,864.55

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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.