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Finding the Fourth Proportional to 197,337, 272,325.06 and 107,913

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Solution

The fourth proportional to 197,337, 272,325.06 and 107,913 is: 148,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,337 : 272,325.06 = 107,913 : x
  2. Step 2: Convert to fraction form
    197,337/272,325.06 = 107,913/x
  3. Step 3: Cross multiply
    197,337x = 272,325.06 × 107,913
  4. Step 4: Simplify right side
    197,337x = 29,387,414,199.78
  5. Step 5: Solve for x
    x = 29,387,414,199.78/197,337
  6. Step 6: Final answer
    x = 148,919.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.