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Finding the Fourth Proportional to 149,642.65, 206,511.24 and 81,664.01

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Solution

The fourth proportional to 149,642.65, 206,511.24 and 81,664.01 is: 112,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,642.65 : 206,511.24 = 81,664.01 : x
  2. Step 2: Convert to fraction form
    149,642.65/206,511.24 = 81,664.01/x
  3. Step 3: Cross multiply
    149,642.65x = 206,511.24 × 81,664.01
  4. Step 4: Simplify right side
    149,642.65x = 16,864,535,839.40
  5. Step 5: Solve for x
    x = 16,864,535,839.40/149,642.65
  6. Step 6: Final answer
    x = 112,698.73

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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.