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Finding the Fourth Proportional to 129,400.50, 178,575.42 and 72,811.88

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Solution

The fourth proportional to 129,400.50, 178,575.42 and 72,811.88 is: 100,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,400.50 : 178,575.42 = 72,811.88 : x
  2. Step 2: Convert to fraction form
    129,400.50/178,575.42 = 72,811.88/x
  3. Step 3: Cross multiply
    129,400.50x = 178,575.42 × 72,811.88
  4. Step 4: Simplify right side
    129,400.50x = 13,002,412,051.99
  5. Step 5: Solve for x
    x = 13,002,412,051.99/129,400.50
  6. Step 6: Final answer
    x = 100,481.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.