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Finding the Fourth Proportional to 125,940.90, 189,057.15 and 76,077.30

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Solution

The fourth proportional to 125,940.90, 189,057.15 and 76,077.30 is: 114,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,940.90 : 189,057.15 = 76,077.30 : x
  2. Step 2: Convert to fraction form
    125,940.90/189,057.15 = 76,077.30/x
  3. Step 3: Cross multiply
    125,940.90x = 189,057.15 × 76,077.30
  4. Step 4: Simplify right side
    125,940.90x = 14,382,957,517.70
  5. Step 5: Solve for x
    x = 14,382,957,517.70/125,940.90
  6. Step 6: Final answer
    x = 114,204.02

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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.