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Finding the Fourth Proportional to 149,150.13, 205,827.12 and 82,082.13

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Solution

The fourth proportional to 149,150.13, 205,827.12 and 82,082.13 is: 113,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,150.13 : 205,827.12 = 82,082.13 : x
  2. Step 2: Convert to fraction form
    149,150.13/205,827.12 = 82,082.13/x
  3. Step 3: Cross multiply
    149,150.13x = 205,827.12 × 82,082.13
  4. Step 4: Simplify right side
    149,150.13x = 16,894,728,421.37
  5. Step 5: Solve for x
    x = 16,894,728,421.37/149,150.13
  6. Step 6: Final answer
    x = 113,273.31

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1.5x scale

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.