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Finding the Fourth Proportional to 105,131.52, 157,420.80 and 80,524.80

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Solution

The fourth proportional to 105,131.52, 157,420.80 and 80,524.80 is: 120,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,131.52 : 157,420.80 = 80,524.80 : x
  2. Step 2: Convert to fraction form
    105,131.52/157,420.80 = 80,524.80/x
  3. Step 3: Cross multiply
    105,131.52x = 157,420.80 × 80,524.80
  4. Step 4: Simplify right side
    105,131.52x = 12,676,278,435.84
  5. Step 5: Solve for x
    x = 12,676,278,435.84/105,131.52
  6. Step 6: Final answer
    x = 120,575.43

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1.5x scale

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.