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Finding the Fourth Proportional to 54,871, 75,721.98 and 29,720.68

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Solution

The fourth proportional to 54,871, 75,721.98 and 29,720.68 is: 41,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,871 : 75,721.98 = 29,720.68 : x
  2. Step 2: Convert to fraction form
    54,871/75,721.98 = 29,720.68/x
  3. Step 3: Cross multiply
    54,871x = 75,721.98 × 29,720.68
  4. Step 4: Simplify right side
    54,871x = 2,250,508,736.55
  5. Step 5: Solve for x
    x = 2,250,508,736.55/54,871
  6. Step 6: Final answer
    x = 41,014.54

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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.