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Finding the Fourth Proportional to 198,598.72, 297,730.26 and 86,193.94

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Solution

The fourth proportional to 198,598.72, 297,730.26 and 86,193.94 is: 129,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,598.72 : 297,730.26 = 86,193.94 : x
  2. Step 2: Convert to fraction form
    198,598.72/297,730.26 = 86,193.94/x
  3. Step 3: Cross multiply
    198,598.72x = 297,730.26 × 86,193.94
  4. Step 4: Simplify right side
    198,598.72x = 25,662,544,166.62
  5. Step 5: Solve for x
    x = 25,662,544,166.62/198,598.72
  6. Step 6: Final answer
    x = 129,218.07

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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.