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Finding the Fourth Proportional to 100,055.60, 138,076.68 and 54,733.57

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Solution

The fourth proportional to 100,055.60, 138,076.68 and 54,733.57 is: 75,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,055.60 : 138,076.68 = 54,733.57 : x
  2. Step 2: Convert to fraction form
    100,055.60/138,076.68 = 54,733.57/x
  3. Step 3: Cross multiply
    100,055.60x = 138,076.68 × 54,733.57
  4. Step 4: Simplify right side
    100,055.60x = 7,557,429,414.40
  5. Step 5: Solve for x
    x = 7,557,429,414.40/100,055.60
  6. Step 6: Final answer
    x = 75,532.30

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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.