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Finding the Fourth Proportional to 215,674.59, 323,511.89 and 65,915.31

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Solution

The fourth proportional to 215,674.59, 323,511.89 and 65,915.31 is: 98,872.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,674.59 : 323,511.89 = 65,915.31 : x
  2. Step 2: Convert to fraction form
    215,674.59/323,511.89 = 65,915.31/x
  3. Step 3: Cross multiply
    215,674.59x = 323,511.89 × 65,915.31
  4. Step 4: Simplify right side
    215,674.59x = 21,324,386,188.46
  5. Step 5: Solve for x
    x = 21,324,386,188.46/215,674.59
  6. Step 6: Final answer
    x = 98,872.97

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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.