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Finding the Fourth Proportional to 203,520.12, 305,294.76 and 53,758.92

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Solution

The fourth proportional to 203,520.12, 305,294.76 and 53,758.92 is: 80,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,520.12 : 305,294.76 = 53,758.92 : x
  2. Step 2: Convert to fraction form
    203,520.12/305,294.76 = 53,758.92/x
  3. Step 3: Cross multiply
    203,520.12x = 305,294.76 × 53,758.92
  4. Step 4: Simplify right side
    203,520.12x = 16,412,316,579.26
  5. Step 5: Solve for x
    x = 16,412,316,579.26/203,520.12
  6. Step 6: Final answer
    x = 80,642.23

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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.