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Finding the Fourth Proportional to 76,511.25, 114,773.49 and 21,107.25

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Solution

The fourth proportional to 76,511.25, 114,773.49 and 21,107.25 is: 31,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,511.25 : 114,773.49 = 21,107.25 : x
  2. Step 2: Convert to fraction form
    76,511.25/114,773.49 = 21,107.25/x
  3. Step 3: Cross multiply
    76,511.25x = 114,773.49 × 21,107.25
  4. Step 4: Simplify right side
    76,511.25x = 2,422,552,746.80
  5. Step 5: Solve for x
    x = 2,422,552,746.80/76,511.25
  6. Step 6: Final answer
    x = 31,662.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.