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Finding the Fourth Proportional to 207,958.50, 312,075.99 and 76,630.50

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Solution

The fourth proportional to 207,958.50, 312,075.99 and 76,630.50 is: 114,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,958.50 : 312,075.99 = 76,630.50 : x
  2. Step 2: Convert to fraction form
    207,958.50/312,075.99 = 76,630.50/x
  3. Step 3: Cross multiply
    207,958.50x = 312,075.99 × 76,630.50
  4. Step 4: Simplify right side
    207,958.50x = 23,914,539,151.70
  5. Step 5: Solve for x
    x = 23,914,539,151.70/207,958.50
  6. Step 6: Final answer
    x = 114,996.69

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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.