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Finding the Fourth Proportional to 136,492.96, 204,961.68 and 84,234.64

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Solution

The fourth proportional to 136,492.96, 204,961.68 and 84,234.64 is: 126,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,492.96 : 204,961.68 = 84,234.64 : x
  2. Step 2: Convert to fraction form
    136,492.96/204,961.68 = 84,234.64/x
  3. Step 3: Cross multiply
    136,492.96x = 204,961.68 × 84,234.64
  4. Step 4: Simplify right side
    136,492.96x = 17,264,873,328.60
  5. Step 5: Solve for x
    x = 17,264,873,328.60/136,492.96
  6. Step 6: Final answer
    x = 126,489.11

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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.