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Finding the Fourth Proportional to 188,912, 260,675.84 and 108,335.36

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Solution

The fourth proportional to 188,912, 260,675.84 and 108,335.36 is: 149,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,912 : 260,675.84 = 108,335.36 : x
  2. Step 2: Convert to fraction form
    188,912/260,675.84 = 108,335.36/x
  3. Step 3: Cross multiply
    188,912x = 260,675.84 × 108,335.36
  4. Step 4: Simplify right side
    188,912x = 28,240,410,969.70
  5. Step 5: Solve for x
    x = 28,240,410,969.70/188,912
  6. Step 6: Final answer
    x = 149,489.77

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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.