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Finding the Fourth Proportional to 48,420, 72,632.75 and 17,255.25

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Solution

The fourth proportional to 48,420, 72,632.75 and 17,255.25 is: 25,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,420 : 72,632.75 = 17,255.25 : x
  2. Step 2: Convert to fraction form
    48,420/72,632.75 = 17,255.25/x
  3. Step 3: Cross multiply
    48,420x = 72,632.75 × 17,255.25
  4. Step 4: Simplify right side
    48,420x = 1,253,296,173.16
  5. Step 5: Solve for x
    x = 1,253,296,173.16/48,420
  6. Step 6: Final answer
    x = 25,883.85

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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.