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Finding the Fourth Proportional to 161,979.50, 243,008.22 and 51,171.50

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Solution

The fourth proportional to 161,979.50, 243,008.22 and 51,171.50 is: 76,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,979.50 : 243,008.22 = 51,171.50 : x
  2. Step 2: Convert to fraction form
    161,979.50/243,008.22 = 51,171.50/x
  3. Step 3: Cross multiply
    161,979.50x = 243,008.22 × 51,171.50
  4. Step 4: Simplify right side
    161,979.50x = 12,435,095,129.73
  5. Step 5: Solve for x
    x = 12,435,095,129.73/161,979.50
  6. Step 6: Final answer
    x = 76,769.56

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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.