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Finding the Fourth Proportional to 161,840, 242,760 and 51,032

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Solution

The fourth proportional to 161,840, 242,760 and 51,032 is: 76,548

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,840 : 242,760 = 51,032 : x
  2. Step 2: Convert to fraction form
    161,840/242,760 = 51,032/x
  3. Step 3: Cross multiply
    161,840x = 242,760 × 51,032
  4. Step 4: Simplify right side
    161,840x = 12,388,528,320
  5. Step 5: Solve for x
    x = 12,388,528,320/161,840
  6. Step 6: Final answer
    x = 76,548

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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.