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Finding the Fourth Proportional to 81,987.48, 113,137.02 and 48,447

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Solution

The fourth proportional to 81,987.48, 113,137.02 and 48,447 is: 66,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,987.48 : 113,137.02 = 48,447 : x
  2. Step 2: Convert to fraction form
    81,987.48/113,137.02 = 48,447/x
  3. Step 3: Cross multiply
    81,987.48x = 113,137.02 × 48,447
  4. Step 4: Simplify right side
    81,987.48x = 5,481,149,207.94
  5. Step 5: Solve for x
    x = 5,481,149,207.94/81,987.48
  6. Step 6: Final answer
    x = 66,853.49

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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.