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Finding the Fourth Proportional to 208,713.78, 287,933.22 and 140,705.91

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Solution

The fourth proportional to 208,713.78, 287,933.22 and 140,705.91 is: 194,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,713.78 : 287,933.22 = 140,705.91 : x
  2. Step 2: Convert to fraction form
    208,713.78/287,933.22 = 140,705.91/x
  3. Step 3: Cross multiply
    208,713.78x = 287,933.22 × 140,705.91
  4. Step 4: Simplify right side
    208,713.78x = 40,513,905,739.33
  5. Step 5: Solve for x
    x = 40,513,905,739.33/208,713.78
  6. Step 6: Final answer
    x = 194,112.27

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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.