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Finding the Fourth Proportional to 136,588.80, 205,004.70 and 80,358.60

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Solution

The fourth proportional to 136,588.80, 205,004.70 and 80,358.60 is: 120,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,588.80 : 205,004.70 = 80,358.60 : x
  2. Step 2: Convert to fraction form
    136,588.80/205,004.70 = 80,358.60/x
  3. Step 3: Cross multiply
    136,588.80x = 205,004.70 × 80,358.60
  4. Step 4: Simplify right side
    136,588.80x = 16,473,890,685.42
  5. Step 5: Solve for x
    x = 16,473,890,685.42/136,588.80
  6. Step 6: Final answer
    x = 120,609.38

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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.