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Finding the Fourth Proportional to 65,185.60, 97,789.40 and 20,196.60

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Solution

The fourth proportional to 65,185.60, 97,789.40 and 20,196.60 is: 30,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,185.60 : 97,789.40 = 20,196.60 : x
  2. Step 2: Convert to fraction form
    65,185.60/97,789.40 = 20,196.60/x
  3. Step 3: Cross multiply
    65,185.60x = 97,789.40 × 20,196.60
  4. Step 4: Simplify right side
    65,185.60x = 1,975,013,396.04
  5. Step 5: Solve for x
    x = 1,975,013,396.04/65,185.60
  6. Step 6: Final answer
    x = 30,298.31

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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.