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Finding the Fourth Proportional to 253,967.40, 381,027.24 and 76,480.20

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Solution

The fourth proportional to 253,967.40, 381,027.24 and 76,480.20 is: 114,743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,967.40 : 381,027.24 = 76,480.20 : x
  2. Step 2: Convert to fraction form
    253,967.40/381,027.24 = 76,480.20/x
  3. Step 3: Cross multiply
    253,967.40x = 381,027.24 × 76,480.20
  4. Step 4: Simplify right side
    253,967.40x = 29,141,039,520.65
  5. Step 5: Solve for x
    x = 29,141,039,520.65/253,967.40
  6. Step 6: Final answer
    x = 114,743.23

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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.