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Finding the Fourth Proportional to 188,663.82, 282,995.73 and 129,319.58

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Solution

The fourth proportional to 188,663.82, 282,995.73 and 129,319.58 is: 193,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,663.82 : 282,995.73 = 129,319.58 : x
  2. Step 2: Convert to fraction form
    188,663.82/282,995.73 = 129,319.58/x
  3. Step 3: Cross multiply
    188,663.82x = 282,995.73 × 129,319.58
  4. Step 4: Simplify right side
    188,663.82x = 36,596,888,945.39
  5. Step 5: Solve for x
    x = 36,596,888,945.39/188,663.82
  6. Step 6: Final answer
    x = 193,979.37

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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.