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Finding the Fourth Proportional to 199,354, 275,108.52 and 109,930

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Solution

The fourth proportional to 199,354, 275,108.52 and 109,930 is: 151,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,354 : 275,108.52 = 109,930 : x
  2. Step 2: Convert to fraction form
    199,354/275,108.52 = 109,930/x
  3. Step 3: Cross multiply
    199,354x = 275,108.52 × 109,930
  4. Step 4: Simplify right side
    199,354x = 30,242,679,603.60
  5. Step 5: Solve for x
    x = 30,242,679,603.60/199,354
  6. Step 6: Final answer
    x = 151,703.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.