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Finding the Fourth Proportional to 75,906.83, 113,879.71 and 25,987.34

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Solution

The fourth proportional to 75,906.83, 113,879.71 and 25,987.34 is: 38,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,906.83 : 113,879.71 = 25,987.34 : x
  2. Step 2: Convert to fraction form
    75,906.83/113,879.71 = 25,987.34/x
  3. Step 3: Cross multiply
    75,906.83x = 113,879.71 × 25,987.34
  4. Step 4: Simplify right side
    75,906.83x = 2,959,430,742.87
  5. Step 5: Solve for x
    x = 2,959,430,742.87/75,906.83
  6. Step 6: Final answer
    x = 38,987.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.