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Finding the Fourth Proportional to 149,642.77, 206,511.41 and 81,664.14

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Solution

The fourth proportional to 149,642.77, 206,511.41 and 81,664.14 is: 112,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,642.77 : 206,511.41 = 81,664.14 : x
  2. Step 2: Convert to fraction form
    149,642.77/206,511.41 = 81,664.14/x
  3. Step 3: Cross multiply
    149,642.77x = 206,511.41 × 81,664.14
  4. Step 4: Simplify right side
    149,642.77x = 16,864,576,127.58
  5. Step 5: Solve for x
    x = 16,864,576,127.58/149,642.77
  6. Step 6: Final answer
    x = 112,698.90

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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.