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Finding the Fourth Proportional to 70,618.78, 105,944.47 and 20,702.73

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Solution

The fourth proportional to 70,618.78, 105,944.47 and 20,702.73 is: 31,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,618.78 : 105,944.47 = 20,702.73 : x
  2. Step 2: Convert to fraction form
    70,618.78/105,944.47 = 20,702.73/x
  3. Step 3: Cross multiply
    70,618.78x = 105,944.47 × 20,702.73
  4. Step 4: Simplify right side
    70,618.78x = 2,193,339,705.65
  5. Step 5: Solve for x
    x = 2,193,339,705.65/70,618.78
  6. Step 6: Final answer
    x = 31,058.87

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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.