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Finding the Fourth Proportional to 83,135.45, 114,745.61 and 54,438.45

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Solution

The fourth proportional to 83,135.45, 114,745.61 and 54,438.45 is: 75,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,135.45 : 114,745.61 = 54,438.45 : x
  2. Step 2: Convert to fraction form
    83,135.45/114,745.61 = 54,438.45/x
  3. Step 3: Cross multiply
    83,135.45x = 114,745.61 × 54,438.45
  4. Step 4: Simplify right side
    83,135.45x = 6,246,572,724.68
  5. Step 5: Solve for x
    x = 6,246,572,724.68/83,135.45
  6. Step 6: Final answer
    x = 75,137.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.