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Finding the Fourth Proportional to 47,744.88, 71,619.12 and 18,157.20

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Solution

The fourth proportional to 47,744.88, 71,619.12 and 18,157.20 is: 27,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,744.88 : 71,619.12 = 18,157.20 : x
  2. Step 2: Convert to fraction form
    47,744.88/71,619.12 = 18,157.20/x
  3. Step 3: Cross multiply
    47,744.88x = 71,619.12 × 18,157.20
  4. Step 4: Simplify right side
    47,744.88x = 1,300,402,685.66
  5. Step 5: Solve for x
    x = 1,300,402,685.66/47,744.88
  6. Step 6: Final answer
    x = 27,236.48

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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.