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Finding the Fourth Proportional to 188,759.09, 282,941.81 and 76,516.79

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Solution

The fourth proportional to 188,759.09, 282,941.81 and 76,516.79 is: 114,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,759.09 : 282,941.81 = 76,516.79 : x
  2. Step 2: Convert to fraction form
    188,759.09/282,941.81 = 76,516.79/x
  3. Step 3: Cross multiply
    188,759.09x = 282,941.81 × 76,516.79
  4. Step 4: Simplify right side
    188,759.09x = 21,649,797,547.63
  5. Step 5: Solve for x
    x = 21,649,797,547.63/188,759.09
  6. Step 6: Final answer
    x = 114,695.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.