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Finding the Fourth Proportional to 199,997.90, 299,997.14 and 81,669.24

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Solution

The fourth proportional to 199,997.90, 299,997.14 and 81,669.24 is: 122,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,997.90 : 299,997.14 = 81,669.24 : x
  2. Step 2: Convert to fraction form
    199,997.90/299,997.14 = 81,669.24/x
  3. Step 3: Cross multiply
    199,997.90x = 299,997.14 × 81,669.24
  4. Step 4: Simplify right side
    199,997.90x = 24,500,538,017.63
  5. Step 5: Solve for x
    x = 24,500,538,017.63/199,997.90
  6. Step 6: Final answer
    x = 122,503.98

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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.