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Finding the Fourth Proportional to 73,206.72, 109,728 and 52,142.40

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Solution

The fourth proportional to 73,206.72, 109,728 and 52,142.40 is: 78,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,206.72 : 109,728 = 52,142.40 : x
  2. Step 2: Convert to fraction form
    73,206.72/109,728 = 52,142.40/x
  3. Step 3: Cross multiply
    73,206.72x = 109,728 × 52,142.40
  4. Step 4: Simplify right side
    73,206.72x = 5,721,481,267.20
  5. Step 5: Solve for x
    x = 5,721,481,267.20/73,206.72
  6. Step 6: Final answer
    x = 78,155.14

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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.