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Finding the Fourth Proportional to 43,434, 65,121.12 and 17,141.76

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Solution

The fourth proportional to 43,434, 65,121.12 and 17,141.76 is: 25,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,434 : 65,121.12 = 17,141.76 : x
  2. Step 2: Convert to fraction form
    43,434/65,121.12 = 17,141.76/x
  3. Step 3: Cross multiply
    43,434x = 65,121.12 × 17,141.76
  4. Step 4: Simplify right side
    43,434x = 1,116,290,609.97
  5. Step 5: Solve for x
    x = 1,116,290,609.97/43,434
  6. Step 6: Final answer
    x = 25,700.85

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Why These Related Problems?

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