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Finding the Fourth Proportional to 109,860, 164,731.68 and 50,665.20

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Solution

The fourth proportional to 109,860, 164,731.68 and 50,665.20 is: 75,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,860 : 164,731.68 = 50,665.20 : x
  2. Step 2: Convert to fraction form
    109,860/164,731.68 = 50,665.20/x
  3. Step 3: Cross multiply
    109,860x = 164,731.68 × 50,665.20
  4. Step 4: Simplify right side
    109,860x = 8,346,163,513.54
  5. Step 5: Solve for x
    x = 8,346,163,513.54/109,860
  6. Step 6: Final answer
    x = 75,970.90

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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.