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Finding the Fourth Proportional to 43,758.40, 65,647.20 and 14,171.20

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Solution

The fourth proportional to 43,758.40, 65,647.20 and 14,171.20 is: 21,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,758.40 : 65,647.20 = 14,171.20 : x
  2. Step 2: Convert to fraction form
    43,758.40/65,647.20 = 14,171.20/x
  3. Step 3: Cross multiply
    43,758.40x = 65,647.20 × 14,171.20
  4. Step 4: Simplify right side
    43,758.40x = 930,299,600.64
  5. Step 5: Solve for x
    x = 930,299,600.64/43,758.40
  6. Step 6: Final answer
    x = 21,259.91

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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.