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Finding the Fourth Proportional to 213,245.21, 319,517.72 and 72,927.29

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Solution

The fourth proportional to 213,245.21, 319,517.72 and 72,927.29 is: 109,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,245.21 : 319,517.72 = 72,927.29 : x
  2. Step 2: Convert to fraction form
    213,245.21/319,517.72 = 72,927.29/x
  3. Step 3: Cross multiply
    213,245.21x = 319,517.72 × 72,927.29
  4. Step 4: Simplify right side
    213,245.21x = 23,301,561,061.94
  5. Step 5: Solve for x
    x = 23,301,561,061.94/213,245.21
  6. Step 6: Final answer
    x = 109,271.21

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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.