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Finding the Fourth Proportional to 43,413, 65,127.96 and 18,452.76

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Solution

The fourth proportional to 43,413, 65,127.96 and 18,452.76 is: 27,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,413 : 65,127.96 = 18,452.76 : x
  2. Step 2: Convert to fraction form
    43,413/65,127.96 = 18,452.76/x
  3. Step 3: Cross multiply
    43,413x = 65,127.96 × 18,452.76
  4. Step 4: Simplify right side
    43,413x = 1,201,790,615.17
  5. Step 5: Solve for x
    x = 1,201,790,615.17/43,413
  6. Step 6: Final answer
    x = 27,682.74

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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.