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Finding the Fourth Proportional to 108,007.20, 161,989.20 and 51,847.20

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Solution

The fourth proportional to 108,007.20, 161,989.20 and 51,847.20 is: 77,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,007.20 : 161,989.20 = 51,847.20 : x
  2. Step 2: Convert to fraction form
    108,007.20/161,989.20 = 51,847.20/x
  3. Step 3: Cross multiply
    108,007.20x = 161,989.20 × 51,847.20
  4. Step 4: Simplify right side
    108,007.20x = 8,398,686,450.24
  5. Step 5: Solve for x
    x = 8,398,686,450.24/108,007.20
  6. Step 6: Final answer
    x = 77,760.43

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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.