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Finding the Fourth Proportional to 135,416.54, 186,874.34 and 75,800.54

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Solution

The fourth proportional to 135,416.54, 186,874.34 and 75,800.54 is: 104,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,416.54 : 186,874.34 = 75,800.54 : x
  2. Step 2: Convert to fraction form
    135,416.54/186,874.34 = 75,800.54/x
  3. Step 3: Cross multiply
    135,416.54x = 186,874.34 × 75,800.54
  4. Step 4: Simplify right side
    135,416.54x = 14,165,175,884.14
  5. Step 5: Solve for x
    x = 14,165,175,884.14/135,416.54
  6. Step 6: Final answer
    x = 104,604.47

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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.