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Finding the Fourth Proportional to 205,720.88, 308,697.88 and 81,149.36

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Solution

The fourth proportional to 205,720.88, 308,697.88 and 81,149.36 is: 121,770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,720.88 : 308,697.88 = 81,149.36 : x
  2. Step 2: Convert to fraction form
    205,720.88/308,697.88 = 81,149.36/x
  3. Step 3: Cross multiply
    205,720.88x = 308,697.88 × 81,149.36
  4. Step 4: Simplify right side
    205,720.88x = 25,050,635,395.36
  5. Step 5: Solve for x
    x = 25,050,635,395.36/205,720.88
  6. Step 6: Final answer
    x = 121,770.02

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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.