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Finding the Fourth Proportional to 100,168.54, 138,228.32 and 54,845.70

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Solution

The fourth proportional to 100,168.54, 138,228.32 and 54,845.70 is: 75,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,168.54 : 138,228.32 = 54,845.70 : x
  2. Step 2: Convert to fraction form
    100,168.54/138,228.32 = 54,845.70/x
  3. Step 3: Cross multiply
    100,168.54x = 138,228.32 × 54,845.70
  4. Step 4: Simplify right side
    100,168.54x = 7,581,228,970.22
  5. Step 5: Solve for x
    x = 7,581,228,970.22/100,168.54
  6. Step 6: Final answer
    x = 75,684.73

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1.5x scale

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.