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Finding the Fourth Proportional to 129,192, 193,765.60 and 35,672.64

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Solution

The fourth proportional to 129,192, 193,765.60 and 35,672.64 is: 53,502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,192 : 193,765.60 = 35,672.64 : x
  2. Step 2: Convert to fraction form
    129,192/193,765.60 = 35,672.64/x
  3. Step 3: Cross multiply
    129,192x = 193,765.60 × 35,672.64
  4. Step 4: Simplify right side
    129,192x = 6,912,130,493.18
  5. Step 5: Solve for x
    x = 6,912,130,493.18/129,192
  6. Step 6: Final answer
    x = 53,502.77

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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.