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Finding the Fourth Proportional to 80,657.96, 120,986.53 and 20,686.18

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Solution

The fourth proportional to 80,657.96, 120,986.53 and 20,686.18 is: 31,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,657.96 : 120,986.53 = 20,686.18 : x
  2. Step 2: Convert to fraction form
    80,657.96/120,986.53 = 20,686.18/x
  3. Step 3: Cross multiply
    80,657.96x = 120,986.53 × 20,686.18
  4. Step 4: Simplify right side
    80,657.96x = 2,502,749,137.16
  5. Step 5: Solve for x
    x = 2,502,749,137.16/80,657.96
  6. Step 6: Final answer
    x = 31,029.16

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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.