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Finding the Fourth Proportional to 205,914.45, 308,922.30 and 70,980.60

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Solution

The fourth proportional to 205,914.45, 308,922.30 and 70,980.60 is: 106,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,914.45 : 308,922.30 = 70,980.60 : x
  2. Step 2: Convert to fraction form
    205,914.45/308,922.30 = 70,980.60/x
  3. Step 3: Cross multiply
    205,914.45x = 308,922.30 × 70,980.60
  4. Step 4: Simplify right side
    205,914.45x = 21,927,490,207.38
  5. Step 5: Solve for x
    x = 21,927,490,207.38/205,914.45
  6. Step 6: Final answer
    x = 106,488.35

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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.