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Finding the Fourth Proportional to 136,536.80, 204,805.20 and 89,297.60

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Solution

The fourth proportional to 136,536.80, 204,805.20 and 89,297.60 is: 133,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,536.80 : 204,805.20 = 89,297.60 : x
  2. Step 2: Convert to fraction form
    136,536.80/204,805.20 = 89,297.60/x
  3. Step 3: Cross multiply
    136,536.80x = 204,805.20 × 89,297.60
  4. Step 4: Simplify right side
    136,536.80x = 18,288,612,827.52
  5. Step 5: Solve for x
    x = 18,288,612,827.52/136,536.80
  6. Step 6: Final answer
    x = 133,946.40

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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.