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Finding the Fourth Proportional to 43,433, 65,149.77 and 12,268.52

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Solution

The fourth proportional to 43,433, 65,149.77 and 12,268.52 is: 18,402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,433 : 65,149.77 = 12,268.52 : x
  2. Step 2: Convert to fraction form
    43,433/65,149.77 = 12,268.52/x
  3. Step 3: Cross multiply
    43,433x = 65,149.77 × 12,268.52
  4. Step 4: Simplify right side
    43,433x = 799,291,256.24
  5. Step 5: Solve for x
    x = 799,291,256.24/43,433
  6. Step 6: Final answer
    x = 18,402.86

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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.