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Finding the Fourth Proportional to 43,442, 65,163.76 and 17,146.56

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Solution

The fourth proportional to 43,442, 65,163.76 and 17,146.56 is: 25,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,442 : 65,163.76 = 17,146.56 : x
  2. Step 2: Convert to fraction form
    43,442/65,163.76 = 17,146.56/x
  3. Step 3: Cross multiply
    43,442x = 65,163.76 × 17,146.56
  4. Step 4: Simplify right side
    43,442x = 1,117,334,320.67
  5. Step 5: Solve for x
    x = 1,117,334,320.67/43,442
  6. Step 6: Final answer
    x = 25,720.14

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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.