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Finding the Fourth Proportional to 171,983.20, 257,999.10 and 53,642.20

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Solution

The fourth proportional to 171,983.20, 257,999.10 and 53,642.20 is: 80,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,983.20 : 257,999.10 = 53,642.20 : x
  2. Step 2: Convert to fraction form
    171,983.20/257,999.10 = 53,642.20/x
  3. Step 3: Cross multiply
    171,983.20x = 257,999.10 × 53,642.20
  4. Step 4: Simplify right side
    171,983.20x = 13,839,639,322.02
  5. Step 5: Solve for x
    x = 13,839,639,322.02/171,983.20
  6. Step 6: Final answer
    x = 80,470.88

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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.