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Finding the Fourth Proportional to 71,709.40, 107,564.10 and 54,796.60

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Solution

The fourth proportional to 71,709.40, 107,564.10 and 54,796.60 is: 82,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.40 : 107,564.10 = 54,796.60 : x
  2. Step 2: Convert to fraction form
    71,709.40/107,564.10 = 54,796.60/x
  3. Step 3: Cross multiply
    71,709.40x = 107,564.10 × 54,796.60
  4. Step 4: Simplify right side
    71,709.40x = 5,894,146,962.06
  5. Step 5: Solve for x
    x = 5,894,146,962.06/71,709.40
  6. Step 6: Final answer
    x = 82,194.90

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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.