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Finding the Fourth Proportional to 198,676.14, 298,007.52 and 86,356.28

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Solution

The fourth proportional to 198,676.14, 298,007.52 and 86,356.28 is: 129,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,676.14 : 298,007.52 = 86,356.28 : x
  2. Step 2: Convert to fraction form
    198,676.14/298,007.52 = 86,356.28/x
  3. Step 3: Cross multiply
    198,676.14x = 298,007.52 × 86,356.28
  4. Step 4: Simplify right side
    198,676.14x = 25,734,819,349.19
  5. Step 5: Solve for x
    x = 25,734,819,349.19/198,676.14
  6. Step 6: Final answer
    x = 129,531.50

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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.