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Finding the Fourth Proportional to 72,913, 109,388.94 and 35,977

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Solution

The fourth proportional to 72,913, 109,388.94 and 35,977 is: 53,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,913 : 109,388.94 = 35,977 : x
  2. Step 2: Convert to fraction form
    72,913/109,388.94 = 35,977/x
  3. Step 3: Cross multiply
    72,913x = 109,388.94 × 35,977
  4. Step 4: Simplify right side
    72,913x = 3,935,485,894.38
  5. Step 5: Solve for x
    x = 3,935,485,894.38/72,913
  6. Step 6: Final answer
    x = 53,975.09

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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.