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Finding the Fourth Proportional to 135,714.96, 187,287.12 and 75,286.80

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Solution

The fourth proportional to 135,714.96, 187,287.12 and 75,286.80 is: 103,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,714.96 : 187,287.12 = 75,286.80 : x
  2. Step 2: Convert to fraction form
    135,714.96/187,287.12 = 75,286.80/x
  3. Step 3: Cross multiply
    135,714.96x = 187,287.12 × 75,286.80
  4. Step 4: Simplify right side
    135,714.96x = 14,100,247,946.02
  5. Step 5: Solve for x
    x = 14,100,247,946.02/135,714.96
  6. Step 6: Final answer
    x = 103,896.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.