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Finding the Fourth Proportional to 100,106.59, 138,147.08 and 54,784.60

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Solution

The fourth proportional to 100,106.59, 138,147.08 and 54,784.60 is: 75,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,106.59 : 138,147.08 = 54,784.60 : x
  2. Step 2: Convert to fraction form
    100,106.59/138,147.08 = 54,784.60/x
  3. Step 3: Cross multiply
    100,106.59x = 138,147.08 × 54,784.60
  4. Step 4: Simplify right side
    100,106.59x = 7,568,332,245.05
  5. Step 5: Solve for x
    x = 7,568,332,245.05/100,106.59
  6. Step 6: Final answer
    x = 75,602.74

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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.