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Finding the Fourth Proportional to 136,725, 205,090.76 and 53,619

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Solution

The fourth proportional to 136,725, 205,090.76 and 53,619 is: 80,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,725 : 205,090.76 = 53,619 : x
  2. Step 2: Convert to fraction form
    136,725/205,090.76 = 53,619/x
  3. Step 3: Cross multiply
    136,725x = 205,090.76 × 53,619
  4. Step 4: Simplify right side
    136,725x = 10,996,761,460.44
  5. Step 5: Solve for x
    x = 10,996,761,460.44/136,725
  6. Step 6: Final answer
    x = 80,429.78

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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.