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Finding the Fourth Proportional to 208,664.16, 312,992.74 and 66,507.49

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Solution

The fourth proportional to 208,664.16, 312,992.74 and 66,507.49 is: 99,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,664.16 : 312,992.74 = 66,507.49 : x
  2. Step 2: Convert to fraction form
    208,664.16/312,992.74 = 66,507.49/x
  3. Step 3: Cross multiply
    208,664.16x = 312,992.74 × 66,507.49
  4. Step 4: Simplify right side
    208,664.16x = 20,816,361,525.62
  5. Step 5: Solve for x
    x = 20,816,361,525.62/208,664.16
  6. Step 6: Final answer
    x = 99,760.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.