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Finding the Fourth Proportional to 106,997.70, 160,496.55 and 99,999.30

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Solution

The fourth proportional to 106,997.70, 160,496.55 and 99,999.30 is: 149,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,997.70 : 160,496.55 = 99,999.30 : x
  2. Step 2: Convert to fraction form
    106,997.70/160,496.55 = 99,999.30/x
  3. Step 3: Cross multiply
    106,997.70x = 160,496.55 × 99,999.30
  4. Step 4: Simplify right side
    106,997.70x = 16,049,542,652.42
  5. Step 5: Solve for x
    x = 16,049,542,652.42/106,997.70
  6. Step 6: Final answer
    x = 149,998.95

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1.5x scale

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.