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Finding the Fourth Proportional to 81,649.98, 112,676.13 and 45,839.16

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Solution

The fourth proportional to 81,649.98, 112,676.13 and 45,839.16 is: 63,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,649.98 : 112,676.13 = 45,839.16 : x
  2. Step 2: Convert to fraction form
    81,649.98/112,676.13 = 45,839.16/x
  3. Step 3: Cross multiply
    81,649.98x = 112,676.13 × 45,839.16
  4. Step 4: Simplify right side
    81,649.98x = 5,164,979,151.25
  5. Step 5: Solve for x
    x = 5,164,979,151.25/81,649.98
  6. Step 6: Final answer
    x = 63,257.57

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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.