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Finding the Fourth Proportional to 77,915.25, 116,892.32 and 22,511.25

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Solution

The fourth proportional to 77,915.25, 116,892.32 and 22,511.25 is: 33,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,915.25 : 116,892.32 = 22,511.25 : x
  2. Step 2: Convert to fraction form
    77,915.25/116,892.32 = 22,511.25/x
  3. Step 3: Cross multiply
    77,915.25x = 116,892.32 × 22,511.25
  4. Step 4: Simplify right side
    77,915.25x = 2,631,392,126.04
  5. Step 5: Solve for x
    x = 2,631,392,126.04/77,915.25
  6. Step 6: Final answer
    x = 33,772.49

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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.