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Finding the Fourth Proportional to 206,782.60, 310,172.76 and 80,510.68

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Solution

The fourth proportional to 206,782.60, 310,172.76 and 80,510.68 is: 120,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,782.60 : 310,172.76 = 80,510.68 : x
  2. Step 2: Convert to fraction form
    206,782.60/310,172.76 = 80,510.68/x
  3. Step 3: Cross multiply
    206,782.60x = 310,172.76 × 80,510.68
  4. Step 4: Simplify right side
    206,782.60x = 24,972,220,745.50
  5. Step 5: Solve for x
    x = 24,972,220,745.50/206,782.60
  6. Step 6: Final answer
    x = 120,765.58

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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.