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Finding the Fourth Proportional to 100,197.64, 138,269.34 and 57,179.51

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Solution

The fourth proportional to 100,197.64, 138,269.34 and 57,179.51 is: 78,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,197.64 : 138,269.34 = 57,179.51 : x
  2. Step 2: Convert to fraction form
    100,197.64/138,269.34 = 57,179.51/x
  3. Step 3: Cross multiply
    100,197.64x = 138,269.34 × 57,179.51
  4. Step 4: Simplify right side
    100,197.64x = 7,906,172,936.39
  5. Step 5: Solve for x
    x = 7,906,172,936.39/100,197.64
  6. Step 6: Final answer
    x = 78,905.78

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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.