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Finding the Fourth Proportional to 198,241.34, 297,203.42 and 103,423.94

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Solution

The fourth proportional to 198,241.34, 297,203.42 and 103,423.94 is: 155,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,241.34 : 297,203.42 = 103,423.94 : x
  2. Step 2: Convert to fraction form
    198,241.34/297,203.42 = 103,423.94/x
  3. Step 3: Cross multiply
    198,241.34x = 297,203.42 × 103,423.94
  4. Step 4: Simplify right side
    198,241.34x = 30,737,948,677.87
  5. Step 5: Solve for x
    x = 30,737,948,677.87/198,241.34
  6. Step 6: Final answer
    x = 155,053.17

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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.