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Finding the Fourth Proportional to 77,209.30, 115,619.55 and 50,770.90

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Solution

The fourth proportional to 77,209.30, 115,619.55 and 50,770.90 is: 76,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,209.30 : 115,619.55 = 50,770.90 : x
  2. Step 2: Convert to fraction form
    77,209.30/115,619.55 = 50,770.90/x
  3. Step 3: Cross multiply
    77,209.30x = 115,619.55 × 50,770.90
  4. Step 4: Simplify right side
    77,209.30x = 5,870,108,611.10
  5. Step 5: Solve for x
    x = 5,870,108,611.10/77,209.30
  6. Step 6: Final answer
    x = 76,028.52

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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.