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Finding the Fourth Proportional to 135,647.85, 187,195.41 and 75,219.42

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Solution

The fourth proportional to 135,647.85, 187,195.41 and 75,219.42 is: 103,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,647.85 : 187,195.41 = 75,219.42 : x
  2. Step 2: Convert to fraction form
    135,647.85/187,195.41 = 75,219.42/x
  3. Step 3: Cross multiply
    135,647.85x = 187,195.41 × 75,219.42
  4. Step 4: Simplify right side
    135,647.85x = 14,080,730,166.86
  5. Step 5: Solve for x
    x = 14,080,730,166.86/135,647.85
  6. Step 6: Final answer
    x = 103,803.56

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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.