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Finding the Fourth Proportional to 270,682.60, 405,979.10 and 90,765.80

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Solution

The fourth proportional to 270,682.60, 405,979.10 and 90,765.80 is: 136,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,682.60 : 405,979.10 = 90,765.80 : x
  2. Step 2: Convert to fraction form
    270,682.60/405,979.10 = 90,765.80/x
  3. Step 3: Cross multiply
    270,682.60x = 405,979.10 × 90,765.80
  4. Step 4: Simplify right side
    270,682.60x = 36,849,017,794.78
  5. Step 5: Solve for x
    x = 36,849,017,794.78/270,682.60
  6. Step 6: Final answer
    x = 136,133.68

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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.