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Finding the Fourth Proportional to 205,973.80, 309,219.90 and 111,279.40

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Solution

The fourth proportional to 205,973.80, 309,219.90 and 111,279.40 is: 167,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,973.80 : 309,219.90 = 111,279.40 : x
  2. Step 2: Convert to fraction form
    205,973.80/309,219.90 = 111,279.40/x
  3. Step 3: Cross multiply
    205,973.80x = 309,219.90 × 111,279.40
  4. Step 4: Simplify right side
    205,973.80x = 34,409,804,940.06
  5. Step 5: Solve for x
    x = 34,409,804,940.06/205,973.80
  6. Step 6: Final answer
    x = 167,059.14

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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.