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Finding the Fourth Proportional to 251,949, 377,975.34 and 104,205

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Solution

The fourth proportional to 251,949, 377,975.34 and 104,205 is: 156,328.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,949 : 377,975.34 = 104,205 : x
  2. Step 2: Convert to fraction form
    251,949/377,975.34 = 104,205/x
  3. Step 3: Cross multiply
    251,949x = 377,975.34 × 104,205
  4. Step 4: Simplify right side
    251,949x = 39,386,920,304.70
  5. Step 5: Solve for x
    x = 39,386,920,304.70/251,949
  6. Step 6: Final answer
    x = 156,328.94

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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.