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Finding the Fourth Proportional to 254,140.84, 381,213.99 and 76,649.39

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Solution

The fourth proportional to 254,140.84, 381,213.99 and 76,649.39 is: 114,974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,140.84 : 381,213.99 = 76,649.39 : x
  2. Step 2: Convert to fraction form
    254,140.84/381,213.99 = 76,649.39/x
  3. Step 3: Cross multiply
    254,140.84x = 381,213.99 × 76,649.39
  4. Step 4: Simplify right side
    254,140.84x = 29,219,819,603.88
  5. Step 5: Solve for x
    x = 29,219,819,603.88/254,140.84
  6. Step 6: Final answer
    x = 114,974.91

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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.