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Finding the Fourth Proportional to 43,599, 65,399.11 and 12,434.25

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Solution

The fourth proportional to 43,599, 65,399.11 and 12,434.25 is: 18,651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,599 : 65,399.11 = 12,434.25 : x
  2. Step 2: Convert to fraction form
    43,599/65,399.11 = 12,434.25/x
  3. Step 3: Cross multiply
    43,599x = 65,399.11 × 12,434.25
  4. Step 4: Simplify right side
    43,599x = 813,188,883.52
  5. Step 5: Solve for x
    x = 813,188,883.52/43,599
  6. Step 6: Final answer
    x = 18,651.55

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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.