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Finding the Fourth Proportional to 56,758.30, 85,142.33 and 14,638

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Solution

The fourth proportional to 56,758.30, 85,142.33 and 14,638 is: 21,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,758.30 : 85,142.33 = 14,638 : x
  2. Step 2: Convert to fraction form
    56,758.30/85,142.33 = 14,638/x
  3. Step 3: Cross multiply
    56,758.30x = 85,142.33 × 14,638
  4. Step 4: Simplify right side
    56,758.30x = 1,246,313,426.54
  5. Step 5: Solve for x
    x = 1,246,313,426.54/56,758.30
  6. Step 6: Final answer
    x = 21,958.26

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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.