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Finding the Fourth Proportional to 73,214.70, 109,822.05 and 43,665.90

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Solution

The fourth proportional to 73,214.70, 109,822.05 and 43,665.90 is: 65,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,214.70 : 109,822.05 = 43,665.90 : x
  2. Step 2: Convert to fraction form
    73,214.70/109,822.05 = 43,665.90/x
  3. Step 3: Cross multiply
    73,214.70x = 109,822.05 × 43,665.90
  4. Step 4: Simplify right side
    73,214.70x = 4,795,478,653.10
  5. Step 5: Solve for x
    x = 4,795,478,653.10/73,214.70
  6. Step 6: Final answer
    x = 65,498.85

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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.