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Finding the Fourth Proportional to 180,990.64, 270,979.40 and 136,478.08

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Solution

The fourth proportional to 180,990.64, 270,979.40 and 136,478.08 is: 204,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,990.64 : 270,979.40 = 136,478.08 : x
  2. Step 2: Convert to fraction form
    180,990.64/270,979.40 = 136,478.08/x
  3. Step 3: Cross multiply
    180,990.64x = 270,979.40 × 136,478.08
  4. Step 4: Simplify right side
    180,990.64x = 36,982,748,231.55
  5. Step 5: Solve for x
    x = 36,982,748,231.55/180,990.64
  6. Step 6: Final answer
    x = 204,335.14

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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.