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Finding the Fourth Proportional to 199,421, 275,200.98 and 109,997

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Solution

The fourth proportional to 199,421, 275,200.98 and 109,997 is: 151,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,421 : 275,200.98 = 109,997 : x
  2. Step 2: Convert to fraction form
    199,421/275,200.98 = 109,997/x
  3. Step 3: Cross multiply
    199,421x = 275,200.98 × 109,997
  4. Step 4: Simplify right side
    199,421x = 30,271,282,197.06
  5. Step 5: Solve for x
    x = 30,271,282,197.06/199,421
  6. Step 6: Final answer
    x = 151,795.86

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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.