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Finding the Fourth Proportional to 188,591.36, 260,257.92 and 103,709

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Solution

The fourth proportional to 188,591.36, 260,257.92 and 103,709 is: 143,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,591.36 : 260,257.92 = 103,709 : x
  2. Step 2: Convert to fraction form
    188,591.36/260,257.92 = 103,709/x
  3. Step 3: Cross multiply
    188,591.36x = 260,257.92 × 103,709
  4. Step 4: Simplify right side
    188,591.36x = 26,991,088,625.28
  5. Step 5: Solve for x
    x = 26,991,088,625.28/188,591.36
  6. Step 6: Final answer
    x = 143,119.43

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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.