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Finding the Fourth Proportional to 188,403, 259,996.59 and 102,362.28

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Solution

The fourth proportional to 188,403, 259,996.59 and 102,362.28 is: 141,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,403 : 259,996.59 = 102,362.28 : x
  2. Step 2: Convert to fraction form
    188,403/259,996.59 = 102,362.28/x
  3. Step 3: Cross multiply
    188,403x = 259,996.59 × 102,362.28
  4. Step 4: Simplify right side
    188,403x = 26,613,843,744.63
  5. Step 5: Solve for x
    x = 26,613,843,744.63/188,403
  6. Step 6: Final answer
    x = 141,260.19

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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.