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Finding the Fourth Proportional to 215,915.49, 323,919.71 and 66,166.13

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Solution

The fourth proportional to 215,915.49, 323,919.71 and 66,166.13 is: 99,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,915.49 : 323,919.71 = 66,166.13 : x
  2. Step 2: Convert to fraction form
    215,915.49/323,919.71 = 66,166.13/x
  3. Step 3: Cross multiply
    215,915.49x = 323,919.71 × 66,166.13
  4. Step 4: Simplify right side
    215,915.49x = 21,432,511,690.99
  5. Step 5: Solve for x
    x = 21,432,511,690.99/215,915.49
  6. Step 6: Final answer
    x = 99,263.43

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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.