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Finding the Fourth Proportional to 43,478.78, 65,119.14 and 25,912.31

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Solution

The fourth proportional to 43,478.78, 65,119.14 and 25,912.31 is: 38,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,478.78 : 65,119.14 = 25,912.31 : x
  2. Step 2: Convert to fraction form
    43,478.78/65,119.14 = 25,912.31/x
  3. Step 3: Cross multiply
    43,478.78x = 65,119.14 × 25,912.31
  4. Step 4: Simplify right side
    43,478.78x = 1,687,387,017.02
  5. Step 5: Solve for x
    x = 1,687,387,017.02/43,478.78
  6. Step 6: Final answer
    x = 38,809.44

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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.