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Finding the Fourth Proportional to 135,867.62, 187,498.62 and 82,188.56

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Solution

The fourth proportional to 135,867.62, 187,498.62 and 82,188.56 is: 113,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,867.62 : 187,498.62 = 82,188.56 : x
  2. Step 2: Convert to fraction form
    135,867.62/187,498.62 = 82,188.56/x
  3. Step 3: Cross multiply
    135,867.62x = 187,498.62 × 82,188.56
  4. Step 4: Simplify right side
    135,867.62x = 15,410,241,579.79
  5. Step 5: Solve for x
    x = 15,410,241,579.79/135,867.62
  6. Step 6: Final answer
    x = 113,421.00

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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.