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Finding the Fourth Proportional to 198,827, 274,381.26 and 109,403

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Solution

The fourth proportional to 198,827, 274,381.26 and 109,403 is: 150,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,827 : 274,381.26 = 109,403 : x
  2. Step 2: Convert to fraction form
    198,827/274,381.26 = 109,403/x
  3. Step 3: Cross multiply
    198,827x = 274,381.26 × 109,403
  4. Step 4: Simplify right side
    198,827x = 30,018,132,987.78
  5. Step 5: Solve for x
    x = 30,018,132,987.78/198,827
  6. Step 6: Final answer
    x = 150,976.14

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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.