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Finding the Fourth Proportional to 129,549.42, 193,978.26 and 76,196.88

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Solution

The fourth proportional to 129,549.42, 193,978.26 and 76,196.88 is: 114,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,549.42 : 193,978.26 = 76,196.88 : x
  2. Step 2: Convert to fraction form
    129,549.42/193,978.26 = 76,196.88/x
  3. Step 3: Cross multiply
    129,549.42x = 193,978.26 × 76,196.88
  4. Step 4: Simplify right side
    129,549.42x = 14,780,538,199.83
  5. Step 5: Solve for x
    x = 14,780,538,199.83/129,549.42
  6. Step 6: Final answer
    x = 114,091.89

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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.