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Finding the Fourth Proportional to 65,361.60, 97,911.12 and 55,323.30

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Solution

The fourth proportional to 65,361.60, 97,911.12 and 55,323.30 is: 82,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,361.60 : 97,911.12 = 55,323.30 : x
  2. Step 2: Convert to fraction form
    65,361.60/97,911.12 = 55,323.30/x
  3. Step 3: Cross multiply
    65,361.60x = 97,911.12 × 55,323.30
  4. Step 4: Simplify right side
    65,361.60x = 5,416,766,265.10
  5. Step 5: Solve for x
    x = 5,416,766,265.10/65,361.60
  6. Step 6: Final answer
    x = 82,873.83

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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.