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Finding the Fourth Proportional to 135,027, 186,337.26 and 75,411

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Solution

The fourth proportional to 135,027, 186,337.26 and 75,411 is: 104,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,027 : 186,337.26 = 75,411 : x
  2. Step 2: Convert to fraction form
    135,027/186,337.26 = 75,411/x
  3. Step 3: Cross multiply
    135,027x = 186,337.26 × 75,411
  4. Step 4: Simplify right side
    135,027x = 14,051,879,113.86
  5. Step 5: Solve for x
    x = 14,051,879,113.86/135,027
  6. Step 6: Final answer
    x = 104,067.18

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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.