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Finding the Fourth Proportional to 253,000.98, 349,137.81 and 139,821.30

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Solution

The fourth proportional to 253,000.98, 349,137.81 and 139,821.30 is: 192,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,000.98 : 349,137.81 = 139,821.30 : x
  2. Step 2: Convert to fraction form
    253,000.98/349,137.81 = 139,821.30/x
  3. Step 3: Cross multiply
    253,000.98x = 349,137.81 × 139,821.30
  4. Step 4: Simplify right side
    253,000.98x = 48,816,902,473.35
  5. Step 5: Solve for x
    x = 48,816,902,473.35/253,000.98
  6. Step 6: Final answer
    x = 192,951.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.