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Finding the Fourth Proportional to 56,738.40, 85,107.60 and 15,185.40

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Solution

The fourth proportional to 56,738.40, 85,107.60 and 15,185.40 is: 22,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,738.40 : 85,107.60 = 15,185.40 : x
  2. Step 2: Convert to fraction form
    56,738.40/85,107.60 = 15,185.40/x
  3. Step 3: Cross multiply
    56,738.40x = 85,107.60 × 15,185.40
  4. Step 4: Simplify right side
    56,738.40x = 1,292,392,949.04
  5. Step 5: Solve for x
    x = 1,292,392,949.04/56,738.40
  6. Step 6: Final answer
    x = 22,778.10

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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.