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Finding the Fourth Proportional to 55,296, 76,310.40 and 31,423.68

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Solution

The fourth proportional to 55,296, 76,310.40 and 31,423.68 is: 43,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,296 : 76,310.40 = 31,423.68 : x
  2. Step 2: Convert to fraction form
    55,296/76,310.40 = 31,423.68/x
  3. Step 3: Cross multiply
    55,296x = 76,310.40 × 31,423.68
  4. Step 4: Simplify right side
    55,296x = 2,397,953,590.27
  5. Step 5: Solve for x
    x = 2,397,953,590.27/55,296
  6. Step 6: Final answer
    x = 43,365.77

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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.