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Finding the Fourth Proportional to 136,999, 205,498.50 and 38,503

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Solution

The fourth proportional to 136,999, 205,498.50 and 38,503 is: 57,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,999 : 205,498.50 = 38,503 : x
  2. Step 2: Convert to fraction form
    136,999/205,498.50 = 38,503/x
  3. Step 3: Cross multiply
    136,999x = 205,498.50 × 38,503
  4. Step 4: Simplify right side
    136,999x = 7,912,308,745.50
  5. Step 5: Solve for x
    x = 7,912,308,745.50/136,999
  6. Step 6: Final answer
    x = 57,754.50

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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.