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Finding the Fourth Proportional to 136,921.44, 205,395.12 and 53,796

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Solution

The fourth proportional to 136,921.44, 205,395.12 and 53,796 is: 80,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,921.44 : 205,395.12 = 53,796 : x
  2. Step 2: Convert to fraction form
    136,921.44/205,395.12 = 53,796/x
  3. Step 3: Cross multiply
    136,921.44x = 205,395.12 × 53,796
  4. Step 4: Simplify right side
    136,921.44x = 11,049,435,875.52
  5. Step 5: Solve for x
    x = 11,049,435,875.52/136,921.44
  6. Step 6: Final answer
    x = 80,699.09

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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.