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Finding the Fourth Proportional to 188,694.26, 260,397.69 and 103,811.12

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Solution

The fourth proportional to 188,694.26, 260,397.69 and 103,811.12 is: 143,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,694.26 : 260,397.69 = 103,811.12 : x
  2. Step 2: Convert to fraction form
    188,694.26/260,397.69 = 103,811.12/x
  3. Step 3: Cross multiply
    188,694.26x = 260,397.69 × 103,811.12
  4. Step 4: Simplify right side
    188,694.26x = 27,032,175,844.31
  5. Step 5: Solve for x
    x = 27,032,175,844.31/188,694.26
  6. Step 6: Final answer
    x = 143,259.13

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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.