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Finding the Fourth Proportional to 136,564.40, 204,846.60 and 80,577.20

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Solution

The fourth proportional to 136,564.40, 204,846.60 and 80,577.20 is: 120,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,564.40 : 204,846.60 = 80,577.20 : x
  2. Step 2: Convert to fraction form
    136,564.40/204,846.60 = 80,577.20/x
  3. Step 3: Cross multiply
    136,564.40x = 204,846.60 × 80,577.20
  4. Step 4: Simplify right side
    136,564.40x = 16,505,965,457.52
  5. Step 5: Solve for x
    x = 16,505,965,457.52/136,564.40
  6. Step 6: Final answer
    x = 120,865.80

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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.