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Finding the Fourth Proportional to 221,915.16, 306,299.88 and 136,983.42

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Solution

The fourth proportional to 221,915.16, 306,299.88 and 136,983.42 is: 189,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,915.16 : 306,299.88 = 136,983.42 : x
  2. Step 2: Convert to fraction form
    221,915.16/306,299.88 = 136,983.42/x
  3. Step 3: Cross multiply
    221,915.16x = 306,299.88 × 136,983.42
  4. Step 4: Simplify right side
    221,915.16x = 41,958,005,107.99
  5. Step 5: Solve for x
    x = 41,958,005,107.99/221,915.16
  6. Step 6: Final answer
    x = 189,072.28

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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.