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Finding the Fourth Proportional to 149,569, 206,405.22 and 82,501

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Solution

The fourth proportional to 149,569, 206,405.22 and 82,501 is: 113,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,569 : 206,405.22 = 82,501 : x
  2. Step 2: Convert to fraction form
    149,569/206,405.22 = 82,501/x
  3. Step 3: Cross multiply
    149,569x = 206,405.22 × 82,501
  4. Step 4: Simplify right side
    149,569x = 17,028,637,055.22
  5. Step 5: Solve for x
    x = 17,028,637,055.22/149,569
  6. Step 6: Final answer
    x = 113,851.38

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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.