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Finding the Fourth Proportional to 108,045.20, 161,722.20 and 76,941.20

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Solution

The fourth proportional to 108,045.20, 161,722.20 and 76,941.20 is: 115,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,045.20 : 161,722.20 = 76,941.20 : x
  2. Step 2: Convert to fraction form
    108,045.20/161,722.20 = 76,941.20/x
  3. Step 3: Cross multiply
    108,045.20x = 161,722.20 × 76,941.20
  4. Step 4: Simplify right side
    108,045.20x = 12,443,100,134.64
  5. Step 5: Solve for x
    x = 12,443,100,134.64/108,045.20
  6. Step 6: Final answer
    x = 115,165.69

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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.