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Finding the Fourth Proportional to 189,901.26, 262,069.02 and 105,023.79

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Solution

The fourth proportional to 189,901.26, 262,069.02 and 105,023.79 is: 144,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,901.26 : 262,069.02 = 105,023.79 : x
  2. Step 2: Convert to fraction form
    189,901.26/262,069.02 = 105,023.79/x
  3. Step 3: Cross multiply
    189,901.26x = 262,069.02 × 105,023.79
  4. Step 4: Simplify right side
    189,901.26x = 27,523,481,721.99
  5. Step 5: Solve for x
    x = 27,523,481,721.99/189,901.26
  6. Step 6: Final answer
    x = 144,935.75

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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.