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Finding the Fourth Proportional to 45,193.30, 67,784.16 and 11,915.98

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Solution

The fourth proportional to 45,193.30, 67,784.16 and 11,915.98 is: 17,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,193.30 : 67,784.16 = 11,915.98 : x
  2. Step 2: Convert to fraction form
    45,193.30/67,784.16 = 11,915.98/x
  3. Step 3: Cross multiply
    45,193.30x = 67,784.16 × 11,915.98
  4. Step 4: Simplify right side
    45,193.30x = 807,714,694.88
  5. Step 5: Solve for x
    x = 807,714,694.88/45,193.30
  6. Step 6: Final answer
    x = 17,872.44

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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.