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Finding the Fourth Proportional to 188,825.98, 260,585.31 and 102,790.54

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Solution

The fourth proportional to 188,825.98, 260,585.31 and 102,790.54 is: 141,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,825.98 : 260,585.31 = 102,790.54 : x
  2. Step 2: Convert to fraction form
    188,825.98/260,585.31 = 102,790.54/x
  3. Step 3: Cross multiply
    188,825.98x = 260,585.31 × 102,790.54
  4. Step 4: Simplify right side
    188,825.98x = 26,785,702,914.09
  5. Step 5: Solve for x
    x = 26,785,702,914.09/188,825.98
  6. Step 6: Final answer
    x = 141,853.91

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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.