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Finding the Fourth Proportional to 43,446, 65,171.76 and 12,283.68

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Solution

The fourth proportional to 43,446, 65,171.76 and 12,283.68 is: 18,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,446 : 65,171.76 = 12,283.68 : x
  2. Step 2: Convert to fraction form
    43,446/65,171.76 = 12,283.68/x
  3. Step 3: Cross multiply
    43,446x = 65,171.76 × 12,283.68
  4. Step 4: Simplify right side
    43,446x = 800,549,044.88
  5. Step 5: Solve for x
    x = 800,549,044.88/43,446
  6. Step 6: Final answer
    x = 18,426.30

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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.