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Finding the Fourth Proportional to 206,811.26, 310,218.21 and 113,265.98

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Solution

The fourth proportional to 206,811.26, 310,218.21 and 113,265.98 is: 169,899.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,811.26 : 310,218.21 = 113,265.98 : x
  2. Step 2: Convert to fraction form
    206,811.26/310,218.21 = 113,265.98/x
  3. Step 3: Cross multiply
    206,811.26x = 310,218.21 × 113,265.98
  4. Step 4: Simplify right side
    206,811.26x = 35,137,169,569.50
  5. Step 5: Solve for x
    x = 35,137,169,569.50/206,811.26
  6. Step 6: Final answer
    x = 169,899.69

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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.