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Finding the Fourth Proportional to 188,573.36, 260,194 and 105,790.12

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Solution

The fourth proportional to 188,573.36, 260,194 and 105,790.12 is: 145,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,573.36 : 260,194 = 105,790.12 : x
  2. Step 2: Convert to fraction form
    188,573.36/260,194 = 105,790.12/x
  3. Step 3: Cross multiply
    188,573.36x = 260,194 × 105,790.12
  4. Step 4: Simplify right side
    188,573.36x = 27,525,954,483.28
  5. Step 5: Solve for x
    x = 27,525,954,483.28/188,573.36
  6. Step 6: Final answer
    x = 145,969.48

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1.5x scale

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.