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Finding the Fourth Proportional to 188,696.52, 260,394.12 and 103,813.20

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Solution

The fourth proportional to 188,696.52, 260,394.12 and 103,813.20 is: 143,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,696.52 : 260,394.12 = 103,813.20 : x
  2. Step 2: Convert to fraction form
    188,696.52/260,394.12 = 103,813.20/x
  3. Step 3: Cross multiply
    188,696.52x = 260,394.12 × 103,813.20
  4. Step 4: Simplify right side
    188,696.52x = 27,032,346,858.38
  5. Step 5: Solve for x
    x = 27,032,346,858.38/188,696.52
  6. Step 6: Final answer
    x = 143,258.32

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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.