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Finding the Fourth Proportional to 108,033.60, 161,704.80 and 99,739.20

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Solution

The fourth proportional to 108,033.60, 161,704.80 and 99,739.20 is: 149,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,033.60 : 161,704.80 = 99,739.20 : x
  2. Step 2: Convert to fraction form
    108,033.60/161,704.80 = 99,739.20/x
  3. Step 3: Cross multiply
    108,033.60x = 161,704.80 × 99,739.20
  4. Step 4: Simplify right side
    108,033.60x = 16,128,307,388.16
  5. Step 5: Solve for x
    x = 16,128,307,388.16/108,033.60
  6. Step 6: Final answer
    x = 149,289.73

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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.