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Finding the Fourth Proportional to 65,197.20, 97,860.60 and 31,954.80

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Solution

The fourth proportional to 65,197.20, 97,860.60 and 31,954.80 is: 47,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.20 : 97,860.60 = 31,954.80 : x
  2. Step 2: Convert to fraction form
    65,197.20/97,860.60 = 31,954.80/x
  3. Step 3: Cross multiply
    65,197.20x = 97,860.60 × 31,954.80
  4. Step 4: Simplify right side
    65,197.20x = 3,127,115,900.88
  5. Step 5: Solve for x
    x = 3,127,115,900.88/65,197.20
  6. Step 6: Final answer
    x = 47,963.96

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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.