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Finding the Fourth Proportional to 50,420, 75,623.28 and 17,138.72

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Solution

The fourth proportional to 50,420, 75,623.28 and 17,138.72 is: 25,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,420 : 75,623.28 = 17,138.72 : x
  2. Step 2: Convert to fraction form
    50,420/75,623.28 = 17,138.72/x
  3. Step 3: Cross multiply
    50,420x = 75,623.28 × 17,138.72
  4. Step 4: Simplify right side
    50,420x = 1,296,086,221.40
  5. Step 5: Solve for x
    x = 1,296,086,221.40/50,420
  6. Step 6: Final answer
    x = 25,705.80

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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.