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Finding the Fourth Proportional to 208,718.64, 312,932.04 and 66,516.24

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Solution

The fourth proportional to 208,718.64, 312,932.04 and 66,516.24 is: 99,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,718.64 : 312,932.04 = 66,516.24 : x
  2. Step 2: Convert to fraction form
    208,718.64/312,932.04 = 66,516.24/x
  3. Step 3: Cross multiply
    208,718.64x = 312,932.04 × 66,516.24
  4. Step 4: Simplify right side
    208,718.64x = 20,815,062,676.33
  5. Step 5: Solve for x
    x = 20,815,062,676.33/208,718.64
  6. Step 6: Final answer
    x = 99,727.86

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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.