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Finding the Fourth Proportional to 136,286.73, 204,415.71 and 36,457

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Solution

The fourth proportional to 136,286.73, 204,415.71 and 36,457 is: 54,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,286.73 : 204,415.71 = 36,457 : x
  2. Step 2: Convert to fraction form
    136,286.73/204,415.71 = 36,457/x
  3. Step 3: Cross multiply
    136,286.73x = 204,415.71 × 36,457
  4. Step 4: Simplify right side
    136,286.73x = 7,452,383,539.47
  5. Step 5: Solve for x
    x = 7,452,383,539.47/136,286.73
  6. Step 6: Final answer
    x = 54,681.65

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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.