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Finding the Fourth Proportional to 51,272, 70,755.36 and 27,720

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Solution

The fourth proportional to 51,272, 70,755.36 and 27,720 is: 38,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,272 : 70,755.36 = 27,720 : x
  2. Step 2: Convert to fraction form
    51,272/70,755.36 = 27,720/x
  3. Step 3: Cross multiply
    51,272x = 70,755.36 × 27,720
  4. Step 4: Simplify right side
    51,272x = 1,961,338,579.20
  5. Step 5: Solve for x
    x = 1,961,338,579.20/51,272
  6. Step 6: Final answer
    x = 38,253.60

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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.