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Finding the Fourth Proportional to 213,209.50, 319,815.87 and 72,969.34

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Solution

The fourth proportional to 213,209.50, 319,815.87 and 72,969.34 is: 109,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,209.50 : 319,815.87 = 72,969.34 : x
  2. Step 2: Convert to fraction form
    213,209.50/319,815.87 = 72,969.34/x
  3. Step 3: Cross multiply
    213,209.50x = 319,815.87 × 72,969.34
  4. Step 4: Simplify right side
    213,209.50x = 23,336,752,955.43
  5. Step 5: Solve for x
    x = 23,336,752,955.43/213,209.50
  6. Step 6: Final answer
    x = 109,454.56

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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.