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Finding the Fourth Proportional to 206,559.68, 309,799.40 and 56,761.52

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Solution

The fourth proportional to 206,559.68, 309,799.40 and 56,761.52 is: 85,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,559.68 : 309,799.40 = 56,761.52 : x
  2. Step 2: Convert to fraction form
    206,559.68/309,799.40 = 56,761.52/x
  3. Step 3: Cross multiply
    206,559.68x = 309,799.40 × 56,761.52
  4. Step 4: Simplify right side
    206,559.68x = 17,584,684,839.09
  5. Step 5: Solve for x
    x = 17,584,684,839.09/206,559.68
  6. Step 6: Final answer
    x = 85,131.26

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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.