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Finding the Fourth Proportional to 197,340, 272,329.20 and 107,916

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Solution

The fourth proportional to 197,340, 272,329.20 and 107,916 is: 148,924.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,340 : 272,329.20 = 107,916 : x
  2. Step 2: Convert to fraction form
    197,340/272,329.20 = 107,916/x
  3. Step 3: Cross multiply
    197,340x = 272,329.20 × 107,916
  4. Step 4: Simplify right side
    197,340x = 29,388,677,947.20
  5. Step 5: Solve for x
    x = 29,388,677,947.20/197,340
  6. Step 6: Final answer
    x = 148,924.08

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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.