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Finding the Fourth Proportional to 123,706.67, 185,139.41 and 76,351.70

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Solution

The fourth proportional to 123,706.67, 185,139.41 and 76,351.70 is: 114,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,706.67 : 185,139.41 = 76,351.70 : x
  2. Step 2: Convert to fraction form
    123,706.67/185,139.41 = 76,351.70/x
  3. Step 3: Cross multiply
    123,706.67x = 185,139.41 × 76,351.70
  4. Step 4: Simplify right side
    123,706.67x = 14,135,708,771.59
  5. Step 5: Solve for x
    x = 14,135,708,771.59/123,706.67
  6. Step 6: Final answer
    x = 114,267.96

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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.