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Finding the Fourth Proportional to 50,409, 75,626.01 and 20,835.36

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Solution

The fourth proportional to 50,409, 75,626.01 and 20,835.36 is: 31,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,409 : 75,626.01 = 20,835.36 : x
  2. Step 2: Convert to fraction form
    50,409/75,626.01 = 20,835.36/x
  3. Step 3: Cross multiply
    50,409x = 75,626.01 × 20,835.36
  4. Step 4: Simplify right side
    50,409x = 1,575,695,143.71
  5. Step 5: Solve for x
    x = 1,575,695,143.71/50,409
  6. Step 6: Final answer
    x = 31,258.21

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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.