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Finding the Fourth Proportional to 73,165.70, 109,748.56 and 28,768.20

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Solution

The fourth proportional to 73,165.70, 109,748.56 and 28,768.20 is: 43,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,165.70 : 109,748.56 = 28,768.20 : x
  2. Step 2: Convert to fraction form
    73,165.70/109,748.56 = 28,768.20/x
  3. Step 3: Cross multiply
    73,165.70x = 109,748.56 × 28,768.20
  4. Step 4: Simplify right side
    73,165.70x = 3,157,268,523.79
  5. Step 5: Solve for x
    x = 3,157,268,523.79/73,165.70
  6. Step 6: Final answer
    x = 43,152.30

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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.