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Finding the Fourth Proportional to 136,455, 204,681 and 53,348.28

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Solution

The fourth proportional to 136,455, 204,681 and 53,348.28 is: 80,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,455 : 204,681 = 53,348.28 : x
  2. Step 2: Convert to fraction form
    136,455/204,681 = 53,348.28/x
  3. Step 3: Cross multiply
    136,455x = 204,681 × 53,348.28
  4. Step 4: Simplify right side
    136,455x = 10,919,379,298.68
  5. Step 5: Solve for x
    x = 10,919,379,298.68/136,455
  6. Step 6: Final answer
    x = 80,021.83

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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.