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Finding the Fourth Proportional to 205,422.60, 308,450.70 and 112,110.60

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Solution

The fourth proportional to 205,422.60, 308,450.70 and 112,110.60 is: 168,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,422.60 : 308,450.70 = 112,110.60 : x
  2. Step 2: Convert to fraction form
    205,422.60/308,450.70 = 112,110.60/x
  3. Step 3: Cross multiply
    205,422.60x = 308,450.70 × 112,110.60
  4. Step 4: Simplify right side
    205,422.60x = 34,580,593,047.42
  5. Step 5: Solve for x
    x = 34,580,593,047.42/205,422.60
  6. Step 6: Final answer
    x = 168,338.80

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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.