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Finding the Fourth Proportional to 136,751.20, 205,126.80 and 114,200.80

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Solution

The fourth proportional to 136,751.20, 205,126.80 and 114,200.80 is: 171,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,751.20 : 205,126.80 = 114,200.80 : x
  2. Step 2: Convert to fraction form
    136,751.20/205,126.80 = 114,200.80/x
  3. Step 3: Cross multiply
    136,751.20x = 205,126.80 × 114,200.80
  4. Step 4: Simplify right side
    136,751.20x = 23,425,644,661.44
  5. Step 5: Solve for x
    x = 23,425,644,661.44/136,751.20
  6. Step 6: Final answer
    x = 171,301.20

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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.