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Finding the Fourth Proportional to 188,212.64, 282,069.77 and 138,057.90

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Solution

The fourth proportional to 188,212.64, 282,069.77 and 138,057.90 is: 206,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,212.64 : 282,069.77 = 138,057.90 : x
  2. Step 2: Convert to fraction form
    188,212.64/282,069.77 = 138,057.90/x
  3. Step 3: Cross multiply
    188,212.64x = 282,069.77 × 138,057.90
  4. Step 4: Simplify right side
    188,212.64x = 38,941,959,409.39
  5. Step 5: Solve for x
    x = 38,941,959,409.39/188,212.64
  6. Step 6: Final answer
    x = 206,904.07

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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.