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Finding the Fourth Proportional to 55,600, 76,728.24 and 30,449.92

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Solution

The fourth proportional to 55,600, 76,728.24 and 30,449.92 is: 42,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,600 : 76,728.24 = 30,449.92 : x
  2. Step 2: Convert to fraction form
    55,600/76,728.24 = 30,449.92/x
  3. Step 3: Cross multiply
    55,600x = 76,728.24 × 30,449.92
  4. Step 4: Simplify right side
    55,600x = 2,336,368,769.74
  5. Step 5: Solve for x
    x = 2,336,368,769.74/55,600
  6. Step 6: Final answer
    x = 42,021.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.