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Finding the Fourth Proportional to 70,702.66, 106,072.22 and 20,784.39

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Solution

The fourth proportional to 70,702.66, 106,072.22 and 20,784.39 is: 31,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,702.66 : 106,072.22 = 20,784.39 : x
  2. Step 2: Convert to fraction form
    70,702.66/106,072.22 = 20,784.39/x
  3. Step 3: Cross multiply
    70,702.66x = 106,072.22 × 20,784.39
  4. Step 4: Simplify right side
    70,702.66x = 2,204,645,754.36
  5. Step 5: Solve for x
    x = 2,204,645,754.36/70,702.66
  6. Step 6: Final answer
    x = 31,181.94

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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.