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Finding the Fourth Proportional to 55,242.38, 76,231.86 and 31,365.92

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Solution

The fourth proportional to 55,242.38, 76,231.86 and 31,365.92 is: 43,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,242.38 : 76,231.86 = 31,365.92 : x
  2. Step 2: Convert to fraction form
    55,242.38/76,231.86 = 31,365.92/x
  3. Step 3: Cross multiply
    55,242.38x = 76,231.86 × 31,365.92
  4. Step 4: Simplify right side
    55,242.38x = 2,391,082,422.21
  5. Step 5: Solve for x
    x = 2,391,082,422.21/55,242.38
  6. Step 6: Final answer
    x = 43,283.48

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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.