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Finding the Fourth Proportional to 135,867.60, 204,020.10 and 91,690.20

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Solution

The fourth proportional to 135,867.60, 204,020.10 and 91,690.20 is: 137,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,867.60 : 204,020.10 = 91,690.20 : x
  2. Step 2: Convert to fraction form
    135,867.60/204,020.10 = 91,690.20/x
  3. Step 3: Cross multiply
    135,867.60x = 204,020.10 × 91,690.20
  4. Step 4: Simplify right side
    135,867.60x = 18,706,643,773.02
  5. Step 5: Solve for x
    x = 18,706,643,773.02/135,867.60
  6. Step 6: Final answer
    x = 137,682.89

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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.