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Finding the Fourth Proportional to 161,586, 242,381.52 and 50,778

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Solution

The fourth proportional to 161,586, 242,381.52 and 50,778 is: 76,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,586 : 242,381.52 = 50,778 : x
  2. Step 2: Convert to fraction form
    161,586/242,381.52 = 50,778/x
  3. Step 3: Cross multiply
    161,586x = 242,381.52 × 50,778
  4. Step 4: Simplify right side
    161,586x = 12,307,648,822.56
  5. Step 5: Solve for x
    x = 12,307,648,822.56/161,586
  6. Step 6: Final answer
    x = 76,167.79

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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.