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Finding the Fourth Proportional to 65,189.60, 97,795.40 and 20,200.60

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Solution

The fourth proportional to 65,189.60, 97,795.40 and 20,200.60 is: 30,304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,189.60 : 97,795.40 = 20,200.60 : x
  2. Step 2: Convert to fraction form
    65,189.60/97,795.40 = 20,200.60/x
  3. Step 3: Cross multiply
    65,189.60x = 97,795.40 × 20,200.60
  4. Step 4: Simplify right side
    65,189.60x = 1,975,525,757.24
  5. Step 5: Solve for x
    x = 1,975,525,757.24/65,189.60
  6. Step 6: Final answer
    x = 30,304.31

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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.