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Finding the Fourth Proportional to 43,408.74, 65,117.88 and 13,816.20

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Solution

The fourth proportional to 43,408.74, 65,117.88 and 13,816.20 is: 20,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,408.74 : 65,117.88 = 13,816.20 : x
  2. Step 2: Convert to fraction form
    43,408.74/65,117.88 = 13,816.20/x
  3. Step 3: Cross multiply
    43,408.74x = 65,117.88 × 13,816.20
  4. Step 4: Simplify right side
    43,408.74x = 899,681,653.66
  5. Step 5: Solve for x
    x = 899,681,653.66/43,408.74
  6. Step 6: Final answer
    x = 20,725.82

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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.