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Finding the Fourth Proportional to 81,890.88, 113,016.08 and 46,078.80

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Solution

The fourth proportional to 81,890.88, 113,016.08 and 46,078.80 is: 63,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,890.88 : 113,016.08 = 46,078.80 : x
  2. Step 2: Convert to fraction form
    81,890.88/113,016.08 = 46,078.80/x
  3. Step 3: Cross multiply
    81,890.88x = 113,016.08 × 46,078.80
  4. Step 4: Simplify right side
    81,890.88x = 5,207,645,347.10
  5. Step 5: Solve for x
    x = 5,207,645,347.10/81,890.88
  6. Step 6: Final answer
    x = 63,592.49

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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.