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Finding the Fourth Proportional to 122,505, 183,757.50 and 39,399

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Solution

The fourth proportional to 122,505, 183,757.50 and 39,399 is: 59,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,505 : 183,757.50 = 39,399 : x
  2. Step 2: Convert to fraction form
    122,505/183,757.50 = 39,399/x
  3. Step 3: Cross multiply
    122,505x = 183,757.50 × 39,399
  4. Step 4: Simplify right side
    122,505x = 7,239,861,742.50
  5. Step 5: Solve for x
    x = 7,239,861,742.50/122,505
  6. Step 6: Final answer
    x = 59,098.50

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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.