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Finding the Fourth Proportional to 31,716, 43,825.82 and 30,178.72

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Solution

The fourth proportional to 31,716, 43,825.82 and 30,178.72 is: 41,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,716 : 43,825.82 = 30,178.72 : x
  2. Step 2: Convert to fraction form
    31,716/43,825.82 = 30,178.72/x
  3. Step 3: Cross multiply
    31,716x = 43,825.82 × 30,178.72
  4. Step 4: Simplify right side
    31,716x = 1,322,606,999.66
  5. Step 5: Solve for x
    x = 1,322,606,999.66/31,716
  6. Step 6: Final answer
    x = 41,701.57

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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.