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Finding the Fourth Proportional to 65,357.60, 97,905.12 and 55,319.30

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Solution

The fourth proportional to 65,357.60, 97,905.12 and 55,319.30 is: 82,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,357.60 : 97,905.12 = 55,319.30 : x
  2. Step 2: Convert to fraction form
    65,357.60/97,905.12 = 55,319.30/x
  3. Step 3: Cross multiply
    65,357.60x = 97,905.12 × 55,319.30
  4. Step 4: Simplify right side
    65,357.60x = 5,416,042,704.82
  5. Step 5: Solve for x
    x = 5,416,042,704.82/65,357.60
  6. Step 6: Final answer
    x = 82,867.83

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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.