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Finding the Fourth Proportional to 29,146.76, 43,708.07 and 9,149.57

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Solution

The fourth proportional to 29,146.76, 43,708.07 and 9,149.57 is: 13,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,146.76 : 43,708.07 = 9,149.57 : x
  2. Step 2: Convert to fraction form
    29,146.76/43,708.07 = 9,149.57/x
  3. Step 3: Cross multiply
    29,146.76x = 43,708.07 × 9,149.57
  4. Step 4: Simplify right side
    29,146.76x = 399,910,046.03
  5. Step 5: Solve for x
    x = 399,910,046.03/29,146.76
  6. Step 6: Final answer
    x = 13,720.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.