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Finding the Fourth Proportional to 78,165.56, 117,250.53 and 48,668.60

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Solution

The fourth proportional to 78,165.56, 117,250.53 and 48,668.60 is: 73,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,165.56 : 117,250.53 = 48,668.60 : x
  2. Step 2: Convert to fraction form
    78,165.56/117,250.53 = 48,668.60/x
  3. Step 3: Cross multiply
    78,165.56x = 117,250.53 × 48,668.60
  4. Step 4: Simplify right side
    78,165.56x = 5,706,419,144.36
  5. Step 5: Solve for x
    x = 5,706,419,144.36/78,165.56
  6. Step 6: Final answer
    x = 73,004.26

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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.