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Finding the Fourth Proportional to 43,854.56, 65,764.68 and 14,265.20

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Solution

The fourth proportional to 43,854.56, 65,764.68 and 14,265.20 is: 21,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,854.56 : 65,764.68 = 14,265.20 : x
  2. Step 2: Convert to fraction form
    43,854.56/65,764.68 = 14,265.20/x
  3. Step 3: Cross multiply
    43,854.56x = 65,764.68 × 14,265.20
  4. Step 4: Simplify right side
    43,854.56x = 938,146,313.14
  5. Step 5: Solve for x
    x = 938,146,313.14/43,854.56
  6. Step 6: Final answer
    x = 21,392.22

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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.