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Finding the Fourth Proportional to 150,015.44, 206,807.64 and 102,207.64

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Solution

The fourth proportional to 150,015.44, 206,807.64 and 102,207.64 is: 140,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,015.44 : 206,807.64 = 102,207.64 : x
  2. Step 2: Convert to fraction form
    150,015.44/206,807.64 = 102,207.64/x
  3. Step 3: Cross multiply
    150,015.44x = 206,807.64 × 102,207.64
  4. Step 4: Simplify right side
    150,015.44x = 21,137,320,818.37
  5. Step 5: Solve for x
    x = 21,137,320,818.37/150,015.44
  6. Step 6: Final answer
    x = 140,900.97

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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.