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Finding the Fourth Proportional to 116,915.88, 161,305.70 and 71,546.60

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Solution

The fourth proportional to 116,915.88, 161,305.70 and 71,546.60 is: 98,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,915.88 : 161,305.70 = 71,546.60 : x
  2. Step 2: Convert to fraction form
    116,915.88/161,305.70 = 71,546.60/x
  3. Step 3: Cross multiply
    116,915.88x = 161,305.70 × 71,546.60
  4. Step 4: Simplify right side
    116,915.88x = 11,540,874,395.62
  5. Step 5: Solve for x
    x = 11,540,874,395.62/116,915.88
  6. Step 6: Final answer
    x = 98,710.92

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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.