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Finding the Fourth Proportional to 97,743.40, 146,615.10 and 86,662.60

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Solution

The fourth proportional to 97,743.40, 146,615.10 and 86,662.60 is: 129,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,743.40 : 146,615.10 = 86,662.60 : x
  2. Step 2: Convert to fraction form
    97,743.40/146,615.10 = 86,662.60/x
  3. Step 3: Cross multiply
    97,743.40x = 146,615.10 × 86,662.60
  4. Step 4: Simplify right side
    97,743.40x = 12,706,045,765.26
  5. Step 5: Solve for x
    x = 12,706,045,765.26/97,743.40
  6. Step 6: Final answer
    x = 129,993.90

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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.