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Finding the Fourth Proportional to 188,908.72, 283,362.73 and 129,564.47

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Solution

The fourth proportional to 188,908.72, 283,362.73 and 129,564.47 is: 194,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,908.72 : 283,362.73 = 129,564.47 : x
  2. Step 2: Convert to fraction form
    188,908.72/283,362.73 = 129,564.47/x
  3. Step 3: Cross multiply
    188,908.72x = 283,362.73 × 129,564.47
  4. Step 4: Simplify right side
    188,908.72x = 36,713,741,930.20
  5. Step 5: Solve for x
    x = 36,713,741,930.20/188,908.72
  6. Step 6: Final answer
    x = 194,346.46

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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.