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Finding the Fourth Proportional to 100,056.54, 138,077.97 and 54,734.51

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Solution

The fourth proportional to 100,056.54, 138,077.97 and 54,734.51 is: 75,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,056.54 : 138,077.97 = 54,734.51 : x
  2. Step 2: Convert to fraction form
    100,056.54/138,077.97 = 54,734.51/x
  3. Step 3: Cross multiply
    100,056.54x = 138,077.97 × 54,734.51
  4. Step 4: Simplify right side
    100,056.54x = 7,557,629,339.35
  5. Step 5: Solve for x
    x = 7,557,629,339.35/100,056.54
  6. Step 6: Final answer
    x = 75,533.59

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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.