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Finding the Fourth Proportional to 253,583.57, 380,412.45 and 76,104.61

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Solution

The fourth proportional to 253,583.57, 380,412.45 and 76,104.61 is: 114,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,583.57 : 380,412.45 = 76,104.61 : x
  2. Step 2: Convert to fraction form
    253,583.57/380,412.45 = 76,104.61/x
  3. Step 3: Cross multiply
    253,583.57x = 380,412.45 × 76,104.61
  4. Step 4: Simplify right side
    253,583.57x = 28,951,140,195.36
  5. Step 5: Solve for x
    x = 28,951,140,195.36/253,583.57
  6. Step 6: Final answer
    x = 114,168.04

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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.