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Finding the Fourth Proportional to 43,765.76, 65,680.64 and 17,478.08

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Solution

The fourth proportional to 43,765.76, 65,680.64 and 17,478.08 is: 26,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,765.76 : 65,680.64 = 17,478.08 : x
  2. Step 2: Convert to fraction form
    43,765.76/65,680.64 = 17,478.08/x
  3. Step 3: Cross multiply
    43,765.76x = 65,680.64 × 17,478.08
  4. Step 4: Simplify right side
    43,765.76x = 1,147,971,480.37
  5. Step 5: Solve for x
    x = 1,147,971,480.37/43,765.76
  6. Step 6: Final answer
    x = 26,229.90

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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.