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Finding the Fourth Proportional to 189,651.50, 261,696.76 and 104,763.50

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Solution

The fourth proportional to 189,651.50, 261,696.76 and 104,763.50 is: 144,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,651.50 : 261,696.76 = 104,763.50 : x
  2. Step 2: Convert to fraction form
    189,651.50/261,696.76 = 104,763.50/x
  3. Step 3: Cross multiply
    189,651.50x = 261,696.76 × 104,763.50
  4. Step 4: Simplify right side
    189,651.50x = 27,416,268,516.26
  5. Step 5: Solve for x
    x = 27,416,268,516.26/189,651.50
  6. Step 6: Final answer
    x = 144,561.31

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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.