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Finding the Fourth Proportional to 73,142.40, 109,725.60 and 25,745.28

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Solution

The fourth proportional to 73,142.40, 109,725.60 and 25,745.28 is: 38,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,142.40 : 109,725.60 = 25,745.28 : x
  2. Step 2: Convert to fraction form
    73,142.40/109,725.60 = 25,745.28/x
  3. Step 3: Cross multiply
    73,142.40x = 109,725.60 × 25,745.28
  4. Step 4: Simplify right side
    73,142.40x = 2,824,916,295.17
  5. Step 5: Solve for x
    x = 2,824,916,295.17/73,142.40
  6. Step 6: Final answer
    x = 38,622.14

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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.