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Finding the Fourth Proportional to 133,082.35, 199,623.53 and 85,843.15

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Solution

The fourth proportional to 133,082.35, 199,623.53 and 85,843.15 is: 128,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082.35 : 199,623.53 = 85,843.15 : x
  2. Step 2: Convert to fraction form
    133,082.35/199,623.53 = 85,843.15/x
  3. Step 3: Cross multiply
    133,082.35x = 199,623.53 × 85,843.15
  4. Step 4: Simplify right side
    133,082.35x = 17,136,312,629.32
  5. Step 5: Solve for x
    x = 17,136,312,629.32/133,082.35
  6. Step 6: Final answer
    x = 128,764.73

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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.