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Finding the Fourth Proportional to 73,102.40, 109,664.40 and 23,187.20

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Solution

The fourth proportional to 73,102.40, 109,664.40 and 23,187.20 is: 34,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,102.40 : 109,664.40 = 23,187.20 : x
  2. Step 2: Convert to fraction form
    73,102.40/109,664.40 = 23,187.20/x
  3. Step 3: Cross multiply
    73,102.40x = 109,664.40 × 23,187.20
  4. Step 4: Simplify right side
    73,102.40x = 2,542,810,375.68
  5. Step 5: Solve for x
    x = 2,542,810,375.68/73,102.40
  6. Step 6: Final answer
    x = 34,784.23

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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.