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Finding the Fourth Proportional to 43,442.64, 65,169.60 and 12,278.64

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Solution

The fourth proportional to 43,442.64, 65,169.60 and 12,278.64 is: 18,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,442.64 : 65,169.60 = 12,278.64 : x
  2. Step 2: Convert to fraction form
    43,442.64/65,169.60 = 12,278.64/x
  3. Step 3: Cross multiply
    43,442.64x = 65,169.60 × 12,278.64
  4. Step 4: Simplify right side
    43,442.64x = 800,194,057.34
  5. Step 5: Solve for x
    x = 800,194,057.34/43,442.64
  6. Step 6: Final answer
    x = 18,419.55

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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.