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Finding the Fourth Proportional to 55,613.86, 76,760.86 and 31,754.38

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Solution

The fourth proportional to 55,613.86, 76,760.86 and 31,754.38 is: 43,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,613.86 : 76,760.86 = 31,754.38 : x
  2. Step 2: Convert to fraction form
    55,613.86/76,760.86 = 31,754.38/x
  3. Step 3: Cross multiply
    55,613.86x = 76,760.86 × 31,754.38
  4. Step 4: Simplify right side
    55,613.86x = 2,437,493,133.76
  5. Step 5: Solve for x
    x = 2,437,493,133.76/55,613.86
  6. Step 6: Final answer
    x = 43,828.88

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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.