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Finding the Fourth Proportional to 135,647, 187,195.12 and 75,220.20

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Solution

The fourth proportional to 135,647, 187,195.12 and 75,220.20 is: 103,805.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,647 : 187,195.12 = 75,220.20 : x
  2. Step 2: Convert to fraction form
    135,647/187,195.12 = 75,220.20/x
  3. Step 3: Cross multiply
    135,647x = 187,195.12 × 75,220.20
  4. Step 4: Simplify right side
    135,647x = 14,080,854,365.42
  5. Step 5: Solve for x
    x = 14,080,854,365.42/135,647
  6. Step 6: Final answer
    x = 103,805.13

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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.