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Finding the Fourth Proportional to 149,555, 206,400.48 and 82,487

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Solution

The fourth proportional to 149,555, 206,400.48 and 82,487 is: 113,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,555 : 206,400.48 = 82,487 : x
  2. Step 2: Convert to fraction form
    149,555/206,400.48 = 82,487/x
  3. Step 3: Cross multiply
    149,555x = 206,400.48 × 82,487
  4. Step 4: Simplify right side
    149,555x = 17,025,356,393.76
  5. Step 5: Solve for x
    x = 17,025,356,393.76/149,555
  6. Step 6: Final answer
    x = 113,840.10

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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.