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Finding the Fourth Proportional to 253,906.90, 380,861.71 and 76,412.70

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Solution

The fourth proportional to 253,906.90, 380,861.71 and 76,412.70 is: 114,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,906.90 : 380,861.71 = 76,412.70 : x
  2. Step 2: Convert to fraction form
    253,906.90/380,861.71 = 76,412.70/x
  3. Step 3: Cross multiply
    253,906.90x = 380,861.71 × 76,412.70
  4. Step 4: Simplify right side
    253,906.90x = 29,102,671,396.69
  5. Step 5: Solve for x
    x = 29,102,671,396.69/253,906.90
  6. Step 6: Final answer
    x = 114,619.46

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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.