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Finding the Fourth Proportional to 198,410.72, 273,656.76 and 137,951.10

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Solution

The fourth proportional to 198,410.72, 273,656.76 and 137,951.10 is: 190,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,410.72 : 273,656.76 = 137,951.10 : x
  2. Step 2: Convert to fraction form
    198,410.72/273,656.76 = 137,951.10/x
  3. Step 3: Cross multiply
    198,410.72x = 273,656.76 × 137,951.10
  4. Step 4: Simplify right side
    198,410.72x = 37,751,251,064.44
  5. Step 5: Solve for x
    x = 37,751,251,064.44/198,410.72
  6. Step 6: Final answer
    x = 190,268.20

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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.