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Finding the Fourth Proportional to 254,237.34, 381,358.71 and 76,745.82

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Solution

The fourth proportional to 254,237.34, 381,358.71 and 76,745.82 is: 115,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,237.34 : 381,358.71 = 76,745.82 : x
  2. Step 2: Convert to fraction form
    254,237.34/381,358.71 = 76,745.82/x
  3. Step 3: Cross multiply
    254,237.34x = 381,358.71 × 76,745.82
  4. Step 4: Simplify right side
    254,237.34x = 29,267,686,913.09
  5. Step 5: Solve for x
    x = 29,267,686,913.09/254,237.34
  6. Step 6: Final answer
    x = 115,119.55

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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.