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Finding the Fourth Proportional to 55,143.20, 82,623.60 and 31,728.80

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Solution

The fourth proportional to 55,143.20, 82,623.60 and 31,728.80 is: 47,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,143.20 : 82,623.60 = 31,728.80 : x
  2. Step 2: Convert to fraction form
    55,143.20/82,623.60 = 31,728.80/x
  3. Step 3: Cross multiply
    55,143.20x = 82,623.60 × 31,728.80
  4. Step 4: Simplify right side
    55,143.20x = 2,621,547,679.68
  5. Step 5: Solve for x
    x = 2,621,547,679.68/55,143.20
  6. Step 6: Final answer
    x = 47,540.72

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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.