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Finding the Fourth Proportional to 135,729.78, 187,300.76 and 75,299.78

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Solution

The fourth proportional to 135,729.78, 187,300.76 and 75,299.78 is: 103,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,729.78 : 187,300.76 = 75,299.78 : x
  2. Step 2: Convert to fraction form
    135,729.78/187,300.76 = 75,299.78/x
  3. Step 3: Cross multiply
    135,729.78x = 187,300.76 × 75,299.78
  4. Step 4: Simplify right side
    135,729.78x = 14,103,705,060.02
  5. Step 5: Solve for x
    x = 14,103,705,060.02/135,729.78
  6. Step 6: Final answer
    x = 103,910.18

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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.