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Finding the Fourth Proportional to 136,546.24, 204,847.24 and 77,408.32

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Solution

The fourth proportional to 136,546.24, 204,847.24 and 77,408.32 is: 116,128.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,546.24 : 204,847.24 = 77,408.32 : x
  2. Step 2: Convert to fraction form
    136,546.24/204,847.24 = 77,408.32/x
  3. Step 3: Cross multiply
    136,546.24x = 204,847.24 × 77,408.32
  4. Step 4: Simplify right side
    136,546.24x = 15,856,880,705.04
  5. Step 5: Solve for x
    x = 15,856,880,705.04/136,546.24
  6. Step 6: Final answer
    x = 116,128.29

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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.