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Finding the Fourth Proportional to 149,460.72, 206,254.44 and 82,392.72

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Solution

The fourth proportional to 149,460.72, 206,254.44 and 82,392.72 is: 113,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,460.72 : 206,254.44 = 82,392.72 : x
  2. Step 2: Convert to fraction form
    149,460.72/206,254.44 = 82,392.72/x
  3. Step 3: Cross multiply
    149,460.72x = 206,254.44 × 82,392.72
  4. Step 4: Simplify right side
    149,460.72x = 16,993,864,323.68
  5. Step 5: Solve for x
    x = 16,993,864,323.68/149,460.72
  6. Step 6: Final answer
    x = 113,701.21

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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.