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Finding the Fourth Proportional to 206,649.98, 285,172.77 and 114,764.39

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Solution

The fourth proportional to 206,649.98, 285,172.77 and 114,764.39 is: 158,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,649.98 : 285,172.77 = 114,764.39 : x
  2. Step 2: Convert to fraction form
    206,649.98/285,172.77 = 114,764.39/x
  3. Step 3: Cross multiply
    206,649.98x = 285,172.77 × 114,764.39
  4. Step 4: Simplify right side
    206,649.98x = 32,727,678,993.66
  5. Step 5: Solve for x
    x = 32,727,678,993.66/206,649.98
  6. Step 6: Final answer
    x = 158,372.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.