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Finding the Fourth Proportional to 78,945.60, 118,375.20 and 32,145.60

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Solution

The fourth proportional to 78,945.60, 118,375.20 and 32,145.60 is: 48,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,945.60 : 118,375.20 = 32,145.60 : x
  2. Step 2: Convert to fraction form
    78,945.60/118,375.20 = 32,145.60/x
  3. Step 3: Cross multiply
    78,945.60x = 118,375.20 × 32,145.60
  4. Step 4: Simplify right side
    78,945.60x = 3,805,241,829.12
  5. Step 5: Solve for x
    x = 3,805,241,829.12/78,945.60
  6. Step 6: Final answer
    x = 48,200.81

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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.