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Finding the Fourth Proportional to 161,839, 242,758.50 and 51,031

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Solution

The fourth proportional to 161,839, 242,758.50 and 51,031 is: 76,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,839 : 242,758.50 = 51,031 : x
  2. Step 2: Convert to fraction form
    161,839/242,758.50 = 51,031/x
  3. Step 3: Cross multiply
    161,839x = 242,758.50 × 51,031
  4. Step 4: Simplify right side
    161,839x = 12,388,209,013.50
  5. Step 5: Solve for x
    x = 12,388,209,013.50/161,839
  6. Step 6: Final answer
    x = 76,546.50

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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.