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Finding the Fourth Proportional to 206,319.41, 309,525.79 and 73,199.82

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Solution

The fourth proportional to 206,319.41, 309,525.79 and 73,199.82 is: 109,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,319.41 : 309,525.79 = 73,199.82 : x
  2. Step 2: Convert to fraction form
    206,319.41/309,525.79 = 73,199.82/x
  3. Step 3: Cross multiply
    206,319.41x = 309,525.79 × 73,199.82
  4. Step 4: Simplify right side
    206,319.41x = 22,657,232,113.36
  5. Step 5: Solve for x
    x = 22,657,232,113.36/206,319.41
  6. Step 6: Final answer
    x = 109,816.29

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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.