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Finding the Fourth Proportional to 70,662.16, 105,993.84 and 20,743.08

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Solution

The fourth proportional to 70,662.16, 105,993.84 and 20,743.08 is: 31,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,662.16 : 105,993.84 = 20,743.08 : x
  2. Step 2: Convert to fraction form
    70,662.16/105,993.84 = 20,743.08/x
  3. Step 3: Cross multiply
    70,662.16x = 105,993.84 × 20,743.08
  4. Step 4: Simplify right side
    70,662.16x = 2,198,638,702.63
  5. Step 5: Solve for x
    x = 2,198,638,702.63/70,662.16
  6. Step 6: Final answer
    x = 31,114.80

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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.