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Finding the Fourth Proportional to 199,389.48, 275,156.10 and 109,965.48

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Solution

The fourth proportional to 199,389.48, 275,156.10 and 109,965.48 is: 151,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,389.48 : 275,156.10 = 109,965.48 : x
  2. Step 2: Convert to fraction form
    199,389.48/275,156.10 = 109,965.48/x
  3. Step 3: Cross multiply
    199,389.48x = 275,156.10 × 109,965.48
  4. Step 4: Simplify right side
    199,389.48x = 30,257,672,611.43
  5. Step 5: Solve for x
    x = 30,257,672,611.43/199,389.48
  6. Step 6: Final answer
    x = 151,751.60

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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.