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Finding the Fourth Proportional to 136,515, 204,772.50 and 38,019

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Solution

The fourth proportional to 136,515, 204,772.50 and 38,019 is: 57,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,515 : 204,772.50 = 38,019 : x
  2. Step 2: Convert to fraction form
    136,515/204,772.50 = 38,019/x
  3. Step 3: Cross multiply
    136,515x = 204,772.50 × 38,019
  4. Step 4: Simplify right side
    136,515x = 7,785,245,677.50
  5. Step 5: Solve for x
    x = 7,785,245,677.50/136,515
  6. Step 6: Final answer
    x = 57,028.50

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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.