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Finding the Fourth Proportional to 47,132, 65,043.68 and 25,912.80

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Solution

The fourth proportional to 47,132, 65,043.68 and 25,912.80 is: 35,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,132 : 65,043.68 = 25,912.80 : x
  2. Step 2: Convert to fraction form
    47,132/65,043.68 = 25,912.80/x
  3. Step 3: Cross multiply
    47,132x = 65,043.68 × 25,912.80
  4. Step 4: Simplify right side
    47,132x = 1,685,463,871.10
  5. Step 5: Solve for x
    x = 1,685,463,871.10/47,132
  6. Step 6: Final answer
    x = 35,760.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.