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Finding the Fourth Proportional to 205,274.60, 308,228.70 and 111,962.60

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Solution

The fourth proportional to 205,274.60, 308,228.70 and 111,962.60 is: 168,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,274.60 : 308,228.70 = 111,962.60 : x
  2. Step 2: Convert to fraction form
    205,274.60/308,228.70 = 111,962.60/x
  3. Step 3: Cross multiply
    205,274.60x = 308,228.70 × 111,962.60
  4. Step 4: Simplify right side
    205,274.60x = 34,510,086,646.62
  5. Step 5: Solve for x
    x = 34,510,086,646.62/205,274.60
  6. Step 6: Final answer
    x = 168,116.69

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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.