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Finding the Fourth Proportional to 125,193.50, 187,790.50 and 30,423.78

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Solution

The fourth proportional to 125,193.50, 187,790.50 and 30,423.78 is: 45,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,193.50 : 187,790.50 = 30,423.78 : x
  2. Step 2: Convert to fraction form
    125,193.50/187,790.50 = 30,423.78/x
  3. Step 3: Cross multiply
    125,193.50x = 187,790.50 × 30,423.78
  4. Step 4: Simplify right side
    125,193.50x = 5,713,296,858.09
  5. Step 5: Solve for x
    x = 5,713,296,858.09/125,193.50
  6. Step 6: Final answer
    x = 45,635.73

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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.