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Finding the Fourth Proportional to 198,597.29, 297,802.31 and 72,148.37

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Solution

The fourth proportional to 198,597.29, 297,802.31 and 72,148.37 is: 108,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,597.29 : 297,802.31 = 72,148.37 : x
  2. Step 2: Convert to fraction form
    198,597.29/297,802.31 = 72,148.37/x
  3. Step 3: Cross multiply
    198,597.29x = 297,802.31 × 72,148.37
  4. Step 4: Simplify right side
    198,597.29x = 21,485,949,398.98
  5. Step 5: Solve for x
    x = 21,485,949,398.98/198,597.29
  6. Step 6: Final answer
    x = 108,188.54

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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.