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Finding the Fourth Proportional to 135,066.64, 202,659.36 and 71,871.88

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Solution

The fourth proportional to 135,066.64, 202,659.36 and 71,871.88 is: 107,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,066.64 : 202,659.36 = 71,871.88 : x
  2. Step 2: Convert to fraction form
    135,066.64/202,659.36 = 71,871.88/x
  3. Step 3: Cross multiply
    135,066.64x = 202,659.36 × 71,871.88
  4. Step 4: Simplify right side
    135,066.64x = 14,565,509,202.80
  5. Step 5: Solve for x
    x = 14,565,509,202.80/135,066.64
  6. Step 6: Final answer
    x = 107,839.43

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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.