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Finding the Fourth Proportional to 100,055.79, 138,076.94 and 54,733.76

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Solution

The fourth proportional to 100,055.79, 138,076.94 and 54,733.76 is: 75,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,055.79 : 138,076.94 = 54,733.76 : x
  2. Step 2: Convert to fraction form
    100,055.79/138,076.94 = 54,733.76/x
  3. Step 3: Cross multiply
    100,055.79x = 138,076.94 × 54,733.76
  4. Step 4: Simplify right side
    100,055.79x = 7,557,469,595.59
  5. Step 5: Solve for x
    x = 7,557,469,595.59/100,055.79
  6. Step 6: Final answer
    x = 75,532.56

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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.