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Finding the Fourth Proportional to 100,078.25, 138,106.82 and 54,755.72

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Solution

The fourth proportional to 100,078.25, 138,106.82 and 54,755.72 is: 75,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,078.25 : 138,106.82 = 54,755.72 : x
  2. Step 2: Convert to fraction form
    100,078.25/138,106.82 = 54,755.72/x
  3. Step 3: Cross multiply
    100,078.25x = 138,106.82 × 54,755.72
  4. Step 4: Simplify right side
    100,078.25x = 7,562,137,812.37
  5. Step 5: Solve for x
    x = 7,562,137,812.37/100,078.25
  6. Step 6: Final answer
    x = 75,562.25

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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.